Edit Profile (opens in new tab) Douglas, Ronald George (b. 1938 d. 2018) Co-Author Distance Author ID: douglas.ronald-george Published as: Douglas, R. G.; Douglas, Ronald G.; Douglas, Ronald George more...less Further Spellings: Douglas R G External Links: MGP · Wikidata · Math-Net.Ru · dblp · IdRef Documents Indexed: 173 Publications since 1964, including 5 Books and 1 Additional arXiv Preprint 12 Contributions as Editor · 3 Further Contributions Reviewing Activity: 9 Reviews Biographic References: 4 Publications Co-Authors: 96 Co-Authors with 136 Joint Publications 2,655 Co-Co-Authors all top 5 Co-Authors 50 single-authored 14 Pearcy, Carl Mark Jr. 13 Foiaș, Ciprian 9 Misra, Gadadhar 8 Sarkar, Jaydeb 7 Kaminker, Jerome 6 Cowen, Michael J. 5 Baum, Paul Frank 5 Bercovici, Hari 5 Szőkefalvi-Nagy, Béla 5 Yan, Keren 4 Coburn, Lewis A. 4 Davidson, Kenneth R. 4 Hurder, Steven E. 4 Paulsen, Vern Ival 4 Sarason, Donald Erik 4 Voiculescu, Dan-Virgil 4 Yang, Rongwei 3 Apostol, Constantin Gelu 3 Arsene, Grigore 3 Brown, Lawrence Gerald 3 Clark, Douglas Napier 3 Eschmeier, Jorg 3 Fillmore, Peter A. 3 Kim, Yun-Su 3 Kwon, Hyun-kyoung 3 Muhly, Paul Scott 3 Nowak, Piotr W. 3 Treil, Sergei 3 Wang, Kai 3 Wang, Yi 3 Yu, Guoliang 2 Abrahamse, M. B. 2 Arveson, William Barnes 2 Brown, Arlen 2 Chen, Li 2 Chen, Xiaoman 2 Effros, Edward George 2 Faddeev, Lyudvig Dmitrievich 2 Guo, Kunyu 2 Helson, Henry 2 Howe, Roger Evans 2 Jørgensen, Palle E. T. 2 Kadison, Richard Vincent 2 Kaskutas, Lee Ann 2 Krantz, Steven George 2 Laca, Marcelo 2 Leiterer, Jürgen 2 Markiewicz, Daniel 2 McKean, Henry P. jun. 2 Naboko, Serguei N. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Pavlov, Boris Sergeevich 2 Peller, Vladimir Vsevolodovich 2 Pitts, David R. 2 Powers, Robert T. 2 Price, Geoffrey L. 2 Putnam, Calvin R. 2 Sakhnovych, Lev Aronovych 2 Salinas, Norberto 2 Sawyer, Eric T. 2 Shapiro, Harold Seymour 2 Shields, Allen L. 2 Singer, Isadore Manuel 2 Smyth, M. R. F. 2 Størmer, Erling 2 Tang, Xiang 2 Upmeier, Harald 2 Varughese, Cherian 2 Vasilescu, Florian-Horia 2 Vasyunin, Vasiliĭ Ivanovich 2 Vershik, Anatoliĭ Moiseevich 2 West, Timothy Trevor 2 Wojciechowski, Krzysztof P. 2 Xu, Anjian 1 Agrawal, Om Prakash 1 Anastasio, Sal 1 Ching, Wai-Mee 1 Curto, Raúl Enrique 1 Davis, Martin David 1 Deckard, Don 1 Esterle, Jean 1 Fisher, Joseph A. 1 Gaşpar, Dumitru 1 Glazebrook, James F. 1 Helton, John William 1 Jabbari, Mohammad 1 Kamber, Franz W. 1 Keshari, Dinesh Kumar 1 Kurpel, Nikolay Stepanovich 1 Lax, Peter David 1 Liaw, Constanze 1 Nakazi, Takahiko 1 Nirenberg, Louis 1 Pincus, Joel D. 1 Porta, Horacio A. 1 Putinar, Mihai 1 Rosenthal, Peter 1 Rudin, Walter 1 Sah, Chih-Han 1 Schaeffer, David G. ...and 16 more Co-Authors all top 5 Serials 11 Journal of Functional Analysis 9 Acta Scientiarum Mathematicarum 8 Indiana University Mathematics Journal 6 Advances in Mathematics 6 Michigan Mathematical Journal 6 Proceedings of the American Mathematical Society 5 Journal of Operator Theory 4 Integral Equations and Operator Theory 4 Pacific Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Bulletin of the American Mathematical Society 3 Houston Journal of Mathematics 3 Notices of the American Mathematical Society 3 The New York Journal of Mathematics 3 Operator Theory: Advances and Applications 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Acta Mathematica 2 American Journal of Mathematics 2 Publications Mathématiques 2 Journal of Differential Geometry 2 \(K\)-Theory 2 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Oberwolfach Reports 2 Journal of Mathematics and Mechanics 2 Contemporary Mathematics 2 Proceedings of Symposia in Pure Mathematics 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Extracta Mathematicae 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annals of Mathematics. Second Series 1 Proceedings of the Cambridge Philosophical Society 1 Pure and Applied Mathematics Quarterly 1 Annals of Mathematics Studies 1 Fields Institute Communications 1 Graduate Texts in Mathematics 1 Pitman Research Notes in Mathematics Series 1 Pure and Applied Mathematics (Academic Press) 1 Regional Conference Series in Mathematics 1 Translations of Mathematical Monographs 1 Theta Series in Advanced Mathematics 1 Complex Analysis and Operator Theory 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Topology and Analysis 1 Science China. Mathematics all top 5 Fields 113 Operator theory (47-XX) 95 Functional analysis (46-XX) 25 Several complex variables and analytic spaces (32-XX) 21 Global analysis, analysis on manifolds (58-XX) 13 General and overarching topics; collections (00-XX) 11 Algebraic topology (55-XX) 10 Functions of a complex variable (30-XX) 8 \(K\)-theory (19-XX) 6 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 3,609 times in 2,521 Documents Cited by ▼ Year ▼ On majorization, factorization, and range inclusion of operators on Hilbert space. Zbl 0146.12503 Douglas, R. G. 501 1966 Banach algebra techniques in operator theory. Zbl 0247.47001 Douglas, Ronald G. 382 1972 Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001 Douglas, Ronald G. 186 1998 Complex geometry and operator theory. Zbl 0427.47016 Cowen, M. J.; Douglas, R. G. 177 1978 Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036 Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 165 1977 Unitary equivalence modulo the compact operators and extensions of C\(^*\)- algebras. Zbl 0277.46053 Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 128 1973 Cyclic vectors and invariant subspaces of the backward shift operator. Zbl 0186.45302 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 126 1970 Hilbert modules over function algebras. Zbl 0686.46035 Douglas, Ronald G.; Paulsen, Vern I. 97 1989 Banach algebra techniques in the theory of Toeplitz operators. Zbl 0252.47025 Douglas, R. G. 70 1973 On the \(C^*\)-algebra of a one-parameter semigroup of isometries. Zbl 0232.46063 Douglas, R. G. 70 1972 On the operator equation \(S^*XT=X\) and related topics. Zbl 0177.19204 Douglas, R. G. 63 1969 A class of subnormal operators related to multiply-connected domains. Zbl 0321.47019 Abrahamse, M. B.; Douglas, R. G. 58 1976 Contractive projections on an \(L_ 1\) space. Zbl 0148.12203 Douglas, R. G. 58 1965 On the \(C^ *\)-algebra of Toeplitz operators on the quarter-plane. Zbl 0224.47015 Douglas, R. G.; Howe, Roger 51 1971 On extremal measures and subspace density. Zbl 0121.33102 Douglas, R. G. 44 1964 Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071 Douglas, Ronald G.; Putinar, Mihai; Wang, Kai 42 2012 \(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027 Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M. 40 1971 Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053 Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao 36 2011 Lifting commuting operators. Zbl 0174.18202 Douglas, R. G.; Muhly, P. S.; Pearcy, C. 35 1968 K homology and index theory. Zbl 0532.55004 Baum, Paul; Douglas, Ronald G. 35 1982 Invariant subspaces in the polydisk. Zbl 0609.47012 Agrawal, O. P.; Clark, D. N.; Douglas, R. G. 34 1986 Essentially reductive Hilbert modules. Zbl 1108.47030 Douglas, Ronald G. 32 2006 Approximation by inner functions. Zbl 0189.13803 Douglas, R. G.; Rudin, W. 30 1969 A note on quasitriangular operators. Zbl 0194.43901 Douglas, R. G.; Pearcy, C. 29 1970 Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074 Douglas, Ronald G.; Wojciechowski, Krzysztof P. 29 1991 Cycles and relative cycles in analytic K-homology. Zbl 0697.58050 Baum, Paul; Douglas, Ronald G.; Taylor, Michael E. 28 1989 On a topology for invariant subspaces. Zbl 0174.17903 Douglas, R. G.; Pearcy, C. 28 1968 Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016 Douglas, Ronald G.; Yang, Rongwei 27 2000 Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040 Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K. 26 1995 A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004 Douglas, Ronald G.; Wang, Kai 26 2011 Inner dilations of analytic matrix functions and Darlington synthesis. Zbl 0267.30032 Douglas, R. G.; Helton, J. William 25 1973 \(C^*\)-algebras of operators on a half-space. I. Zbl 0241.47026 Coburn, Lewis A.; Douglas, R. G. 24 1971 On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034 Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 21 2000 Translation operators on the half-line. Zbl 0181.40801 Coburn, Lewis A.; Douglas, R. G. 21 1969 An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011 Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang 21 2016 Local Toeplitz operators. Zbl 0381.47018 Douglas, R. G. 20 1978 On extending commutative semigroups of isometries. Zbl 0187.06501 Douglas, R. G. 20 1969 \(C^*\)-algebra extensions and K-homology. Zbl 0458.46049 Douglas, Ronald G. 19 1980 Equivalence of quotient Hilbert modules. II. Zbl 1140.46011 Douglas, Ronald G.; Misra, Gadadhar 19 2008 Operators possessing an open set of eigenvalues. Zbl 0584.47002 Cowen, M. J.; Douglas, R. G. 18 1983 On the smoothness of sphere extensions. Zbl 0501.46055 Douglas, R. G.; Voiculescu, Dan 18 1981 Index theory, bordism, and K-homology. Zbl 0507.55004 Baum, Paul; Douglas, Ronald G. 17 1982 A new kind of index theorem. Zbl 1140.47060 Douglas, Ronald G. 17 2006 Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. Zbl 0277.46052 Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 16 1973 An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026 Coburn, Lewis A.; Douglas, R. G.; Singer, I. M. 16 1972 Operator theory and algebraic geometry. Zbl 0711.47004 Douglas, R. G.; Paulsen, Vern; Yan, Keren 16 1989 Hyperinvariant subspaces and transitive algebras. Zbl 0233.47005 Douglas, R. G.; Pearcy, Carl 16 1972 On the classification of multi-isometries. Zbl 1164.47301 Bercovici, H.; Douglas, R. G.; Foias, C. 16 2006 Localization of Hilbert modules. Zbl 0807.46060 Chen, Xiaoman; Douglas, R. G. 13 1992 On the rigidity of Hardy submodules. Zbl 0727.46028 Douglas, R. G.; Yan, Keren 13 1990 On factoring positive operator functions. Zbl 0149.09901 Douglas, R. G. 13 1966 Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017 Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei 13 2013 Reducing subspaces on the annulus. Zbl 1257.47011 Douglas, Ronald G.; Kim, Yun-Su 13 2011 Canonical models for bi-isometries. Zbl 1266.47025 Bercovici, H.; Douglas, R. G.; Foias, C. 13 2012 Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049 Douglas, R. G.; Hurder, S.; Kaminker, J. 12 1991 Equivalence of quotient Hilbert modules. Zbl 1066.46043 Douglas, Ronald G.; Misra, Gadahar 12 2003 Partially isometric Toeplitz operators. Zbl 0151.19603 Brown, Arlen; Douglas, R. G. 12 1965 Toeplitz and Wiener-Hopf operators in \(H^ \infty +C\). Zbl 0167.13004 Douglas, R. G. 12 1968 Contractive Hilbert modules and their dilations. Zbl 1301.46027 Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb 12 2012 Hermitian geometry on resolvent set. Zbl 1454.47009 Douglas, Ronald G.; Yang, Rongwei 12 2018 Infinite dimensional versions of a theorem of Brickman-Fillmore. Zbl 0326.47021 Douglas, R. G.; Foiaş, Ciprian 11 1976 Equivalence of connections. Zbl 0589.53032 Cowen, M. J.; Douglas, R. G. 11 1985 Structure theory for operators. I. Zbl 0164.44301 Douglas, R. G. 11 1968 On invariant subspaces of quasitriangular operators. Zbl 0186.19206 Deckard, D.; Douglas, R. G.; Pearcy, C. 11 1969 Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018 Douglas, Ronald G.; Sarkar, Jaydeb 11 2011 Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 1491.47006 Douglas, Ronald George; Wang, Yi 10 2017 Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053 Douglas, R. G.; Paulsen, V. I. 10 1986 Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068 Douglas, Ronald G.; Yan, Keren 10 1993 Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047 Douglas, Ronald G.; Misra, Gadadhar 10 1998 On cyclic vectors of the backward shift. Zbl 0152.13902 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 10 1967 Toeplitz operators with locally sectorial symbols. Zbl 0207.13704 Douglas, R. G.; Widom, H. 10 1970 On the invertibility of a class of Toeplitz operators on the quarter- plane. Zbl 0234.47029 Douglas, R. G. 10 1972 On the double commutant of Cowen-Douglas operators. Zbl 1230.47036 Chen, Li; Douglas, Ronald G.; Guo, Kunyu 10 2011 Invariant subspaces of non-quasitriangular operators. Zbl 0264.47008 Douglas, R. G.; Pearcy, Carl 9 1973 Quasi-free resolution of Hilbert modules. Zbl 1073.47502 Douglas, Ronald G.; Misra, Gadadhar 9 2003 On maximum theorems for analytic operator functions. Zbl 0173.42902 Brown, Arlen; Douglas, R. G. 9 1965 Fredholm Toeplitz operators. Zbl 0201.16801 Douglas, R. G.; Sarason, D. 9 1970 Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035 Baum, Paul; Douglas, Ronald G. 9 1991 Projection-iterative methods for solution of operator equations. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by R. G. Douglas. Zbl 0345.65027 Kurpel’, N. S. 8 1976 On quasi-free Hilbert modules. Zbl 1098.46019 Douglas, Ronald G.; Misra, Gadadhar 8 2005 A multi-variable Berger-Shaw theorem. Zbl 0817.47027 Douglas, R. G.; Yan, Keren 8 1992 Uniqueness of multi-variate canonical models. Zbl 0809.47010 Douglas, R. G.; Foias, C. 8 1993 Spectral theory of generalized Toeplitz operators. Zbl 0151.19604 Douglas, R. G.; Pearcy, C. 8 1965 The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009 Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 8 1991 On unitarily equivalent submodules. Zbl 1172.46015 Douglas, Ronald G.; Sarkar, Jaydeb 8 2008 Operator theory and complex geometry. Zbl 1207.46024 Douglas, Ronald G. 8 2009 Complex geometry and operator theory. Zbl 0427.47017 Cowen, M. J.; Douglas, R. G. 7 1977 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062 Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 7 1995 Essentially reductive Hilbert modules. II. Zbl 1199.46159 Douglas, Ronald G. 7 2008 Confluent operator algebras and the closability property. Zbl 1190.47086 Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 7 2010 On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010 Douglas, Ronald G.; Foias, Ciprian 7 2006 Operators on multiply connected domains. Zbl 0302.47009 Abrahamse, M. B.; Douglas, R. G. 6 1974 Quasi-similar models for nilpotent operators. Zbl 0342.47008 Apostol, C.; Douglas, R. G.; Foiaş, Ciprian 6 1977 On the measure-theoretic character of an invariant mean. Zbl 0151.18903 Douglas, R. G. 6 1965 Spectral inclusion theorems. Zbl 1290.47004 Douglas, Ronald G.; Eschmeier, Jörg 6 2012 A geometric approach to finite rank unitary perturbations. Zbl 1300.47016 Douglas, Ronald G.; Liaw, Constanze 6 2013 Hermitian geometry on the resolvent set. II. Zbl 07344768 Douglas, Ronald G.; Yang, Rongwei 6 2021 Canonical models. Zbl 0336.47008 Douglas, R. G. 5 1974 Quotient Hardy modules. Zbl 0983.46038 Douglas, Ronald G.; Yang, Rongwei 5 1998 Curvature invariant and generalized canonical operator models. II. Zbl 1308.47004 Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb 5 2014 On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains. Zbl 07574786 Douglas, Ronald G.; Guo, Kunyu; Wang, Yi 3 2022 Hermitian geometry on the resolvent set. II. Zbl 07344768 Douglas, Ronald G.; Yang, Rongwei 6 2021 Hermitian geometry on resolvent set. Zbl 1454.47009 Douglas, Ronald G.; Yang, Rongwei 12 2018 A new index theorem for monomial ideals by resolutions. Zbl 1453.19007 Douglas, Ronald G.; Jabbari, Mohammad; Tang, Xiang; Yu, Guoliang 2 2018 Geometric Arveson-Douglas conjecture-decomposition of varieties. Zbl 06909443 Wang, Yi; Douglas, Ronald G. 1 2018 Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 1491.47006 Douglas, Ronald George; Wang, Yi 10 2017 A local theory for operator tuples in the Cowen-Douglas class. Zbl 1385.47003 Chen, Li; Douglas, Ronald G. 4 2017 An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011 Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang 21 2016 Generalized bundle shift with application to multiplication operator on the Bergman space. Zbl 1389.47068 Douglas, Ronald G.; Keshari, Dinesh Kumar; Xu, Anjian 4 2016 Spectral multiplicity and odd K-theory. II. Zbl 1367.47019 Douglas, Ronald G.; Kaminker, Jerome 1 2016 Curvature invariant and generalized canonical operator models. II. Zbl 1308.47004 Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb 5 2014 The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004 3 2014 A history of the Corona problem. Zbl 1317.30082 Douglas, Ronald G.; Krantz, Steven G.; Sawyer, Eric T.; Treil, Sergei; Wicks, Brett D. 2 2014 Some remarks on essentially normal submodules. Zbl 1339.47010 Douglas, Ronald G.; Wang, Kai 2 2014 Hilbert modules and complex geometry. Abstracts from the workshop held April 20–26, 2014. Zbl 1349.00128 1 2014 Connections of the Corona problem with operator theory and complex geometry. Zbl 1327.32014 Douglas, Ronald G. 1 2014 Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017 Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei 13 2013 A geometric approach to finite rank unitary perturbations. Zbl 1300.47016 Douglas, Ronald G.; Liaw, Constanze 6 2013 Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071 Douglas, Ronald G.; Putinar, Mihai; Wang, Kai 42 2012 Canonical models for bi-isometries. Zbl 1266.47025 Bercovici, H.; Douglas, R. G.; Foias, C. 13 2012 Contractive Hilbert modules and their dilations. Zbl 1301.46027 Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb 12 2012 Spectral inclusion theorems. Zbl 1290.47004 Douglas, Ronald G.; Eschmeier, Jörg 6 2012 Curvature invariant and generalized canonical operator models. I. Zbl 1264.47016 Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb 4 2012 Resolutions of Hilbert modules and similarity. Zbl 1260.46018 Douglas, Ronald G.; Foias, Ciprian; Sarkar, Jaydeb 3 2012 Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053 Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao 36 2011 A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004 Douglas, Ronald G.; Wang, Kai 26 2011 Reducing subspaces on the annulus. Zbl 1257.47011 Douglas, Ronald G.; Kim, Yun-Su 13 2011 Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018 Douglas, Ronald G.; Sarkar, Jaydeb 11 2011 On the double commutant of Cowen-Douglas operators. Zbl 1230.47036 Chen, Li; Douglas, Ronald G.; Guo, Kunyu 10 2011 Invariant expectations and vanishing of bounded cohomology for exact groups. Zbl 1248.57002 Douglas, Ronald G.; Nowak, Piotr W. 5 2011 Variations on a theme of Beurling. Zbl 1228.47008 Douglas, Ronald G. 2 2011 Confluent operator algebras and the closability property. Zbl 1190.47086 Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 7 2010 Some remarks on the Toeplitz corona problem. Zbl 1210.46028 Douglas, Ronald G.; Sarkar, Jaydeb 4 2010 Bi-isometries and commutant lifting. Zbl 1207.47009 Bercovici, Hari; Douglas, Ronald G.; Foias, Ciprian 3 2010 Hilbert \(C^{*}\)-modules and amenable actions. Zbl 1404.22050 Douglas, Ronald G.; Nowak, Piotr W. 2 2010 A note on semi-Fredholm Hilbert modules. Zbl 1201.47006 Douglas, Ronald G.; Sarkar, Jaydeb 1 2010 Operator theory and complex geometry. Zbl 1207.46024 Douglas, Ronald G. 8 2009 Hilbert modules and complex geometry. Abstracts from the workshop held April 5th – April 11th, 2009. Zbl 1177.13002 1 2009 Equivalence of quotient Hilbert modules. II. Zbl 1140.46011 Douglas, Ronald G.; Misra, Gadadhar 19 2008 On unitarily equivalent submodules. Zbl 1172.46015 Douglas, Ronald G.; Sarkar, Jaydeb 8 2008 Essentially reductive Hilbert modules. II. Zbl 1199.46159 Douglas, Ronald G. 7 2008 Shift operators on the \(\mathbb C^2\)-valued Hardy space. Zbl 1164.47010 Douglas, Ronald G.; Nakazi, Takahiko; Seto, Michio 1 2007 Essentially reductive Hilbert modules. Zbl 1108.47030 Douglas, Ronald G. 32 2006 A new kind of index theorem. Zbl 1140.47060 Douglas, Ronald G. 17 2006 On the classification of multi-isometries. Zbl 1164.47301 Bercovici, H.; Douglas, R. G.; Foias, C. 16 2006 On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010 Douglas, Ronald G.; Foias, Ciprian 7 2006 On quasi-free Hilbert modules. Zbl 1098.46019 Douglas, Ronald G.; Misra, Gadadhar 8 2005 The generalized Berezin transform and commutator ideals. Zbl 1106.46042 Davidson, Kenneth R.; Douglas, Ronald G. 5 2005 Ideals in Toeplitz algebras. Zbl 1103.46039 Douglas, Ronald G. 1 2005 Equivalence of quotient Hilbert modules. Zbl 1066.46043 Douglas, Ronald G.; Misra, Gadahar 12 2003 Quasi-free resolution of Hilbert modules. Zbl 1073.47502 Douglas, Ronald G.; Misra, Gadadhar 9 2003 Some geometric invariants from resolutions of Hilbert modules. Zbl 1014.46016 Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 4 2001 On quotient modules. Zbl 0994.47035 Douglas, Ronald G.; Misra, Gadadhar 2 2001 Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016 Douglas, Ronald G.; Yang, Rongwei 27 2000 On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034 Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 21 2000 Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001 Douglas, Ronald G. 186 1998 Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047 Douglas, Ronald G.; Misra, Gadadhar 10 1998 Quotient Hardy modules. Zbl 0983.46038 Douglas, Ronald G.; Yang, Rongwei 5 1998 Induced cyclic cocycles and higher eta invariants. Zbl 0882.58050 Douglas, Ronald G.; Kaminker, Jerome 1 1997 Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040 Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K. 26 1995 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062 Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 7 1995 Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068 Douglas, Ronald G.; Yan, Keren 10 1993 Uniqueness of multi-variate canonical models. Zbl 0809.47010 Douglas, R. G.; Foias, C. 8 1993 Localization of Hilbert modules. Zbl 0807.46060 Chen, Xiaoman; Douglas, R. G. 13 1992 A multi-variable Berger-Shaw theorem. Zbl 0817.47027 Douglas, R. G.; Yan, Keren 8 1992 Rigidity of Hardy submodules on the unit ball. Zbl 0762.46048 Chen, Xiaoman; Douglas, R. G. 5 1992 Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074 Douglas, Ronald G.; Wojciechowski, Krzysztof P. 29 1991 Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049 Douglas, R. G.; Hurder, S.; Kaminker, J. 12 1991 Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035 Baum, Paul; Douglas, Ronald G. 9 1991 The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009 Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 8 1991 Elliptic renormalization. Zbl 0810.58043 Douglas, Ronald G. 1 1991 On the rigidity of Hardy submodules. Zbl 0727.46028 Douglas, R. G.; Yan, Keren 13 1990 Invariants for Hilbert modules. Zbl 0727.46027 Douglas, R. G. 5 1990 Hilbert modules over function algebras. Zbl 0686.46035 Douglas, Ronald G.; Paulsen, Vern I. 97 1989 Cycles and relative cycles in analytic K-homology. Zbl 0697.58050 Baum, Paul; Douglas, Ronald G.; Taylor, Michael E. 28 1989 Operator theory and algebraic geometry. Zbl 0711.47004 Douglas, R. G.; Paulsen, Vern; Yan, Keren 16 1989 Another look at real-valued index theory. Zbl 0810.47022 Douglas, Ronald G. 5 1989 Eta-invariants and von Neumann algebras. Zbl 0691.58037 Douglas, R. G.; Hurder, S.; Kaminker, J. 4 1989 Analytic realization of relative \(K\)-homology on manifolds with boundary and pairing with \(K\)-cohomology. Zbl 0819.58036 Douglas, R. G.; Wojciechowski, K. P. 1 1989 Toeplitz operators and the eta invariant: The case of \(S^ 1\). Zbl 0658.47027 Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 4 1988 Elliptic invariants for differential operators. Zbl 0658.58046 Douglas, R. G. 1 1988 Invariant subspaces in the polydisk. Zbl 0609.47012 Agrawal, O. P.; Clark, D. N.; Douglas, R. G. 34 1986 Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053 Douglas, R. G.; Paulsen, V. I. 10 1986 Advances in invariant subspaces and other results of operator theory. 9th International Conference on Operator Theory, Timişoara and Herculane, Romania, June 4-14, 1984. Managing ed.: Gr. Arsene. Zbl 0579.00011 1 1986 Hilbert modules over function algebras. Zbl 0627.46059 Douglas, Ronald G. 1 1986 Equivalence of connections. Zbl 0589.53032 Cowen, M. J.; Douglas, R. G. 11 1985 Operators possessing an open set of eigenvalues. Zbl 0584.47002 Cowen, M. J.; Douglas, R. G. 18 1983 K homology and index theory. Zbl 0532.55004 Baum, Paul; Douglas, Ronald G. 35 1982 Index theory, bordism, and K-homology. Zbl 0507.55004 Baum, Paul; Douglas, Ronald G. 17 1982 Toeplitz operators and Poincaré duality. Zbl 0517.55001 Baum, Paul; Douglas, Ronald G. 4 1982 On moduli for invariant subspaces. Zbl 0509.47006 Cowen, M. J.; Douglas, R. G. 2 1982 On the smoothness of sphere extensions. Zbl 0501.46055 Douglas, R. G.; Voiculescu, Dan 18 1981 On the smoothness of elements of Ext. Zbl 0474.46058 Douglas, R. G. 3 1981 \(C^*\)-algebra extensions and K-homology. Zbl 0458.46049 Douglas, Ronald G. 19 1980 Complex geometry and operator theory. Zbl 0427.47016 Cowen, M. J.; Douglas, R. G. 177 1978 Local Toeplitz operators. Zbl 0381.47018 Douglas, R. G. 20 1978 Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036 Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 165 1977 Complex geometry and operator theory. Zbl 0427.47017 Cowen, M. J.; Douglas, R. G. 7 1977 Quasi-similar models for nilpotent operators. Zbl 0342.47008 Apostol, C.; Douglas, R. G.; Foiaş, Ciprian 6 1977 Operator theory and complex geometry. Zbl 0446.47006 Cowen, Michael J.; Douglas, Ronald G. 1 1977 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,035 Authors 44 Douglas, Ronald George 37 Guo, Kunyu 32 Misra, Gadadhar 28 Sarkar, Jaydeb 26 Xia, Jingbo 24 Silbermann, Bernd 22 Curto, Raúl Enrique 22 Muhly, Paul Scott 22 Yang, Rongwei 21 Böttcher, Albrecht 21 Ko, Eungil 21 Zheng, Dechao 20 Ball, Joseph Anthony 20 Ji, Kui 20 Maestripieri, Alejandra L. 19 Corach, Gustavo 18 Lee, Woo Young 16 Deng, Chunyuan 16 Jiang, Chunlan 15 Herrero, Domingo Antonio 15 Hwang, In Sung 15 Karlovich, Yuri I. 15 Lipacheva, Ekaterina Vladimirovna 15 Lu, Yufeng 15 Pearcy, Carl Mark Jr. 14 Arias, M. Laura 14 Feki, Kais 14 Popescu, Gelu 13 Estaremi, Yousef 13 Foiaș, Ciprian 13 Fritzsche, Bernd 13 Gu, Caixing 13 Izuchi, Keiji 13 Kirstein, Bernd 13 Xu, Qingxiang 12 Gonzalez, María Celeste 12 Izuchi, Kou Hei 12 Ross, William T. 12 Spitkovsky, Ilya Matvey 11 Arov, Damir Zyamovich 11 Chavan, Sameer Laxman 11 Dyakonov, Konstantin M. 11 Fang, Xiaochun 11 Hadwin, Donald W. 11 Huang, Hansong 11 Ji, Youqing 11 Lin, Huaxin 11 Vasilevski, Nikolai Leonidovich 11 Yang, Yixin 10 Carey, Alan L. 10 Clancey, Kevin F. 10 Davidson, Kenneth R. 10 Eschmeier, Jorg 10 Izuchi, Yuko 10 Jung, Il Bong 10 Li, Yucheng 10 Ng, Ping Wong 10 Zhao, Xianfeng 9 Arlins’kyĭ, Yuriĭ Moĭseĭovych 9 Bhunia, Pintu 9 Coburn, Lewis A. 9 Fuhrmann, Paul A. 9 Kittaneh, Fuad 9 Krishna Das, B. 9 Nakazi, Takahiko 9 Paul, Kallol 9 Paulsen, Vern Ival 9 Putinar, Mihai 9 Roch, Steffen 9 Sid Ahmed, Ould Ahmed Mahmoud 9 ter Horst, Sanne 9 Wu, Peiyuan 9 Xia, Daoxing 9 Zhu, Sen 8 Contino, Maximiliano 8 Cowen, Carl C. 8 Duggal, Bhagwati Prashad 8 Fang, Xiang 8 Fialkow, Lawrence A. 8 Fricain, Emmanuel 8 Gallardo-Gutiérrez, Eva Antonia 8 Garcia, Stephan Ramon 8 Jørgensen, Palle E. T. 8 Jury, Michael T. 8 Kaminker, Jerome 8 Kwon, Hyun-kyoung 8 Lee, Jieun 8 Luo, Shuaibing 8 Martin, Robert T. W. 8 Moslehian, Mohammad Sal 8 Stojanoff, Demetrio 8 Sun, Shunhua 8 Treil, Sergei 8 Upmeier, Harald 8 Wang, Penghui 8 Wei, Changguo 7 Bercovici, Hari 7 Bolotnikov, Vladimir 7 Cao, Guangfu 7 Chen, Yong ...and 1,935 more Authors all top 5 Cited in 335 Serials 251 Journal of Functional Analysis 204 Integral Equations and Operator Theory 177 Journal of Mathematical Analysis and Applications 169 Proceedings of the American Mathematical Society 100 Linear Algebra and its Applications 88 Transactions of the American Mathematical Society 67 Complex Analysis and Operator Theory 53 Advances in Mathematics 30 Mathematische Annalen 26 Linear and Multilinear Algebra 26 Banach Journal of Mathematical Analysis 24 Journal of Soviet Mathematics 24 Mathematische Nachrichten 23 Bulletin of the American Mathematical Society 22 Communications in Mathematical Physics 22 Archiv der Mathematik 21 Israel Journal of Mathematics 21 Bulletin of the American Mathematical Society. New Series 21 Acta Mathematica Sinica. English Series 21 Journal of Noncommutative Geometry 21 Operators and Matrices 20 Science China. Mathematics 17 Journal of Mathematical Sciences (New York) 16 Results in Mathematics 15 Rocky Mountain Journal of Mathematics 15 Annals of Functional Analysis 14 Lobachevskii Journal of Mathematics 13 Journal of Geometry and Physics 13 Mathematische Zeitschrift 13 Mediterranean Journal of Mathematics 12 Acta Mathematica 12 \(K\)-Theory 11 Acta Scientiarum Mathematicarum 11 Czechoslovak Mathematical Journal 11 Duke Mathematical Journal 11 Journal of Approximation Theory 11 Tôhoku Mathematical Journal. Second Series 11 Science in China. Series A 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Journal of Mathematical Physics 10 Mathematical Notes 10 Siberian Mathematical Journal 10 Systems & Control Letters 10 Filomat 10 The New York Journal of Mathematics 10 Positivity 10 Journal of Function Spaces 10 Advances in Operator Theory 9 Numerical Functional Analysis and Optimization 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 International Journal of Mathematics 9 The Journal of Geometric Analysis 9 St. Petersburg Mathematical Journal 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal d’Analyse Mathématique 8 Studia Mathematica 8 Functional Analysis and its Applications 8 Glasgow Mathematical Journal 8 Journal für die Reine und Angewandte Mathematik 8 Monatshefte für Mathematik 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Acta Mathematica Sinica. New Series 8 Turkish Journal of Mathematics 7 Bulletin of the Australian Mathematical Society 7 Indian Journal of Pure & Applied Mathematics 7 Annales de l’Institut Fourier 7 Russian Mathematics 7 Bulletin des Sciences Mathématiques 7 Journal of Inequalities and Applications 7 Journal of the Australian Mathematical Society 7 International Journal of Wavelets, Multiresolution and Information Processing 7 Journal of Topology and Analysis 7 Sahand Communications in Mathematical Analysis 6 Ukrainian Mathematical Journal 6 Applied Mathematics and Computation 6 Journal of Multivariate Analysis 6 Acta Mathematica Hungarica 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Indagationes Mathematicae. New Series 6 Communications of the Korean Mathematical Society 6 Journal of \(K\)-Theory 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Arkiv för Matematik 5 Journal of Differential Equations 5 Manuscripta Mathematica 5 Memoirs of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 Geometric and Functional Analysis. GAFA 5 The Journal of Analysis 5 Abstract and Applied Analysis 5 Computational Methods and Function Theory 4 International Journal of Control 4 Letters in Mathematical Physics 4 Reviews in Mathematical Physics 4 Publications Mathématiques 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Journal of the London Mathematical Society. Second Series ...and 235 more Serials all top 5 Cited in 57 Fields 1,754 Operator theory (47-XX) 942 Functional analysis (46-XX) 284 Functions of a complex variable (30-XX) 176 Several complex variables and analytic spaces (32-XX) 134 Global analysis, analysis on manifolds (58-XX) 121 Harmonic analysis on Euclidean spaces (42-XX) 113 \(K\)-theory (19-XX) 98 Linear and multilinear algebra; matrix theory (15-XX) 69 Probability theory and stochastic processes (60-XX) 69 Quantum theory (81-XX) 57 Systems theory; control (93-XX) 56 Integral equations (45-XX) 51 Topological groups, Lie groups (22-XX) 51 Approximations and expansions (41-XX) 49 Differential geometry (53-XX) 46 Partial differential equations (35-XX) 42 Abstract harmonic analysis (43-XX) 39 Measure and integration (28-XX) 37 Algebraic topology (55-XX) 37 Numerical analysis (65-XX) 33 Group theory and generalizations (20-XX) 25 Algebraic geometry (14-XX) 24 Manifolds and cell complexes (57-XX) 21 Mathematical logic and foundations (03-XX) 21 Potential theory (31-XX) 21 General topology (54-XX) 17 Associative rings and algebras (16-XX) 17 Integral transforms, operational calculus (44-XX) 16 Category theory; homological algebra (18-XX) 14 Nonassociative rings and algebras (17-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Information and communication theory, circuits (94-XX) 13 Combinatorics (05-XX) 13 Statistics (62-XX) 12 Ordinary differential equations (34-XX) 10 Number theory (11-XX) 10 Convex and discrete geometry (52-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 History and biography (01-XX) 9 Commutative algebra (13-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 5 Real functions (26-XX) 5 Computer science (68-XX) 5 Fluid mechanics (76-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operations research, mathematical programming (90-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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