Edit Profile (opens in new tab) Douglas, Ronald George Compute Distance To: Compute Author ID: douglas.ronald-george Published as: Douglas, R. G.; Douglas, Ronald G.; Douglas, Ronald George Further Spellings: Douglas R G External Links: MGP · Wikidata · Math-Net.Ru · dblp · IdRef Documents Indexed: 170 Publications since 1964, including 5 Books 12 Contributions as Editor · 3 Further Contributions Reviewing Activity: 9 Reviews Biographic References: 4 Publications Co-Authors: 93 Co-Authors with 131 Joint Publications 2,143 Co-Co-Authors all top 5 Co-Authors 49 single-authored 14 Pearcy, Carl Mark Jr. 12 Foiaş, Ciprian Ilie 9 Misra, Gadadhar 8 Sarkar, Jaydeb 7 Kaminker, Jerome 6 Cowen, Michael J. 5 Baum, Paul Frank 5 Szőkefalvi-Nagy, Béla 5 Yan, Keren 4 Bercovici, Hari 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 Yu, Guoliang 2 Abrahamse, M. B. 2 Arveson, William Barnes 2 Brown, Arlen 2 Chen, Xiaoman 2 Effros, Edward George 2 Faddeev, Lyudvig Dmitrievich 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 Deckard, Don 1 Esterle, Jean 1 Fisher, Joseph A. 1 Gaşpar, Dumitru 1 Glazebrook, James F. 1 Guo, Kunyu 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. 1 Schochet, Claude L. 1 Seto, Michio 1 Sharir, Micha ...and 13 more Co-Authors all top 5 Serials 11 Journal of Functional Analysis 9 Acta Scientiarum Mathematicarum 8 Indiana University Mathematics Journal 6 Michigan Mathematical Journal 6 Proceedings of the American Mathematical Society 5 Advances in Mathematics 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 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 111 Operator theory (47-XX) 94 Functional analysis (46-XX) 23 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) 9 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 146 Publications have been cited 3,029 times in 2,153 Documents Cited by ▼ Year ▼ On majorization, factorization, and range inclusion of operators on Hilbert space. Zbl 0146.12503Douglas, R. G. 371 1966 Banach algebra techniques in operator theory. Zbl 0247.47001Douglas, Ronald G. 348 1972 Complex geometry and operator theory. Zbl 0427.47016Cowen, M. J.; Douglas, R. G. 154 1978 Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 142 1977 Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001Douglas, Ronald G. 136 1998 Cyclic vectors and invariant subspaces of the backward shift operator. Zbl 0186.45302Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 116 1970 Unitary equivalence modulo the compact operators and extensions of C\(^*\)- algebras. Zbl 0277.46053Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 103 1973 Hilbert modules over function algebras. Zbl 0686.46035Douglas, Ronald G.; Paulsen, Vern I. 77 1989 On the \(C^*\)-algebra of a one-parameter semigroup of isometries. Zbl 0232.46063Douglas, R. G. 61 1972 Banach algebra techniques in the theory of Toeplitz operators. Zbl 0252.47025Douglas, R. G. 60 1973 A class of subnormal operators related to multiply-connected domains. Zbl 0321.47019Abrahamse, M. B.; Douglas, R. G. 56 1976 On the operator equation \(S^*XT=X\) and related topics. Zbl 0177.19204Douglas, R. G. 55 1969 Contractive projections on an \(L_ 1\) space. Zbl 0148.12203Douglas, R. G. 53 1965 On the \(C^ *\)-algebra of Toeplitz operators on the quarter-plane. Zbl 0224.47015Douglas, R. G.; Howe, Roger 46 1971 On extremal measures and subspace density. Zbl 0121.33102Douglas, R. G. 43 1964 \(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M. 40 1971 Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071Douglas, Ronald G.; Putinar, Mihai; Wang, Kai 33 2012 Lifting commuting operators. Zbl 0174.18202Douglas, R. G.; Muhly, P. S.; Pearcy, C. 32 1968 Invariant subspaces in the polydisk. Zbl 0609.47012Agrawal, O. P.; Clark, D. N.; Douglas, R. G. 32 1986 Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao 31 2011 Approximation by inner functions. Zbl 0189.13803Douglas, R. G.; Rudin, W. 30 1969 Essentially reductive Hilbert modules. Zbl 1108.47030Douglas, Ronald G. 27 2006 On a topology for invariant subspaces. Zbl 0174.17903Douglas, R. G.; Pearcy, C. 27 1968 Cycles and relative cycles in analytic K-homology. Zbl 0697.58050Baum, Paul; Douglas, Ronald G.; Taylor, Michael E. 26 1989 Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074Douglas, Ronald G.; Wojciechowski, Krzysztof P. 25 1991 Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K. 24 1995 A note on quasitriangular operators. Zbl 0194.43901Douglas, R. G.; Pearcy, C. 24 1970 Inner dilations of analytic matrix functions and Darlington synthesis. Zbl 0267.30032Douglas, R. G.; Helton, J. William 24 1973 \(C^*\)-algebras of operators on a half-space. I. Zbl 0241.47026Coburn, Lewis A.; Douglas, R. G. 23 1971 K homology and index theory. Zbl 0532.55004Baum, Paul; Douglas, Ronald G. 23 1982 Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016Douglas, Ronald G.; Yang, Rongwei 22 2000 Local Toeplitz operators. Zbl 0381.47018Douglas, R. G. 20 1978 Translation operators on the half-line. Zbl 0181.40801Coburn, Lewis A.; Douglas, R. G. 20 1969 A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004Douglas, Ronald G.; Wang, Kai 19 2011 On extending commutative semigroups of isometries. Zbl 0187.06501Douglas, R. G. 17 1969 On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 16 2000 Index theory, bordism, and K-homology. Zbl 0507.55004Baum, Paul; Douglas, Ronald G. 16 1982 Hyperinvariant subspaces and transitive algebras. Zbl 0233.47005Douglas, R. G.; Pearcy, Carl 15 1972 An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026Coburn, Lewis A.; Douglas, R. G.; Singer, I. M. 15 1972 Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. Zbl 0277.46052Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 15 1973 Operator theory and algebraic geometry. Zbl 0711.47004Douglas, R. G.; Paulsen, Vern; Yan, Keren 15 1989 Equivalence of quotient Hilbert modules. II. Zbl 1140.46011Douglas, Ronald G.; Misra, Gadadhar 15 2008 On the smoothness of sphere extensions. Zbl 0501.46055Douglas, R. G.; Voiculescu, Dan 14 1981 On factoring positive operator functions. Zbl 0149.09901Douglas, R. G. 13 1966 \(C^*\)-algebra extensions and K-homology. Zbl 0458.46049Douglas, Ronald G. 13 1980 An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang 12 2016 Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049Douglas, R. G.; Hurder, S.; Kaminker, J. 12 1991 Localization of Hilbert modules. Zbl 0807.46060Chen, Xiaoman; Douglas, R. G. 11 1992 Reducing subspaces on the annulus. Zbl 1257.47011Douglas, Ronald G.; Kim, Yun-Su 11 2011 Toeplitz and Wiener-Hopf operators in \(H^ \infty +C\). Zbl 0167.13004Douglas, R. G. 11 1968 On invariant subspaces of quasitriangular operators. Zbl 0186.19206Deckard, D.; Douglas, R. G.; Pearcy, C. 11 1969 On the rigidity of Hardy submodules. Zbl 0727.46028Douglas, R. G.; Yan, Keren 11 1990 Operators possessing an open set of eigenvalues. Zbl 0584.47002Cowen, M. J.; Douglas, R. G. 11 1983 Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018Douglas, Ronald G.; Sarkar, Jaydeb 11 2011 Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047Douglas, Ronald G.; Misra, Gadadhar 10 1998 Equivalence of quotient Hilbert modules. Zbl 1066.46043Douglas, Ronald G.; Misra, Gadahar 10 2003 Infinite dimensional versions of a theorem of Brickman-Fillmore. Zbl 0326.47021Douglas, R. G.; Foiaş, Ciprian 10 1976 On cyclic vectors of the backward shift. Zbl 0152.13902Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 10 1967 Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053Douglas, R. G.; Paulsen, V. I. 10 1986 Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068Douglas, Ronald G.; Yan, Keren 10 1993 On the classification of multi-isometries. Zbl 1164.47301Bercovici, H.; Douglas, R. G.; Foias, C. 10 2006 A new kind of index theorem. Zbl 1140.47060Douglas, Ronald G. 10 2006 Structure theory for operators. I. Zbl 0164.44301Douglas, R. G. 9 1968 On maximum theorems for analytic operator functions. Zbl 0173.42902Brown, Arlen; Douglas, R. G. 9 1965 Fredholm Toeplitz operators. Zbl 0201.16801Douglas, R. G.; Sarason, D. 9 1970 Toeplitz operators with locally sectorial symbols. Zbl 0207.13704Douglas, R. G.; Widom, H. 9 1970 On the invertibility of a class of Toeplitz operators on the quarter- plane. Zbl 0234.47029Douglas, R. G. 9 1972 Canonical models for bi-isometries. Zbl 1266.47025Bercovici, H.; Douglas, R. G.; Foias, C. 9 2012 Quasi-free resolution of Hilbert modules. Zbl 1073.47502Douglas, Ronald G.; Misra, Gadadhar 8 2003 Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei 8 2013 Contractive Hilbert modules and their dilations. Zbl 1301.46027Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb 8 2012 Spectral theory of generalized Toeplitz operators. Zbl 0151.19604Douglas, R. G.; Pearcy, C. 8 1965 The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 8 1991 Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035Baum, Paul; Douglas, Ronald G. 8 1991 A multi-variable Berger-Shaw theorem. Zbl 0817.47027Douglas, R. G.; Yan, Keren 8 1992 Uniqueness of multi-variate canonical models. Zbl 0809.47010Douglas, R. G.; Foias, C. 8 1993 On quasi-free Hilbert modules. Zbl 1098.46019Douglas, Ronald G.; Misra, Gadadhar 7 2005 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 0345.65027Kurpel’, N. S. 7 1976 Partially isometric Toeplitz operators. Zbl 0151.19603Brown, Arlen; Douglas, R. G. 7 1965 Invariant subspaces of non-quasitriangular operators. Zbl 0264.47008Douglas, R. G.; Pearcy, Carl 7 1973 On unitarily equivalent submodules. Zbl 1172.46015Douglas, Ronald G.; Sarkar, Jaydeb 7 2008 Equivalence of connections. Zbl 0589.53032Cowen, M. J.; Douglas, R. G. 7 1985 On the double commutant of Cowen-Douglas operators. Zbl 1230.47036Chen, Li; Douglas, Ronald G.; Guo, Kunyu 7 2011 Operator theory and complex geometry. Zbl 1207.46024Douglas, Ronald G. 6 2009 Confluent operator algebras and the closability property. Zbl 1190.47086Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 6 2010 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 6 1995 A geometric approach to finite rank unitary perturbations. Zbl 1300.47016Douglas, Ronald G.; Liaw, Constanze 6 2013 Complex geometry and operator theory. Zbl 0427.47017Cowen, M. J.; Douglas, R. G. 6 1977 Essentially reductive Hilbert modules. II. Zbl 1199.46159Douglas, Ronald G. 6 2008 Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 06821373Douglas, Ronald George; Wang, Yi 5 2017 Operators on multiply connected domains. Zbl 0302.47009Abrahamse, M. B.; Douglas, R. G. 5 1974 Canonical models. Zbl 0336.47008Douglas, R. G. 5 1974 Quasi-similar models for nilpotent operators. Zbl 0342.47008Apostol, C.; Douglas, R. G.; Foiaş, Ciprian 5 1977 On the measure-theoretic character of an invariant mean. Zbl 0151.18903Douglas, R. G. 5 1965 On the hyperinvariant subspaces for isometrics. Zbl 0164.16403Douglas, R. G. 5 1968 On extremal measures and subspace density. II. Zbl 0171.34302Douglas, R. G. 5 1966 Invariants for Hilbert modules. Zbl 0727.46027Douglas, R. G. 5 1990 Rigidity of Hardy submodules on the unit ball. Zbl 0762.46048Chen, Xiaoman; Douglas, R. G. 5 1992 Another look at real-valued index theory. Zbl 0810.47022Douglas, Ronald G. 5 1989 Invariant expectations and vanishing of bounded cohomology for exact groups. Zbl 1248.57002Douglas, Ronald G.; Nowak, Piotr W. 5 2011 Hermitian geometry on the resolvent set. II. Zbl 07344768Douglas, Ronald G.; Yang, Rongwei 2 2021 Hermitian geometry on resolvent set. Zbl 1454.47009Douglas, Ronald G.; Yang, Rongwei 4 2018 Geometric Arveson-Douglas conjecture-decomposition of varieties. Zbl 06909443Wang, Yi; Douglas, Ronald G. 1 2018 Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 06821373Douglas, Ronald George; Wang, Yi 5 2017 A local theory for operator tuples in the Cowen-Douglas class. Zbl 1385.47003Chen, Li; Douglas, Ronald G. 2 2017 An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang 12 2016 Generalized bundle shift with application to multiplication operator on the Bergman space. Zbl 1389.47068Douglas, Ronald G.; Keshari, Dinesh Kumar; Xu, Anjian 4 2016 Spectral multiplicity and odd K-theory. II. Zbl 1367.47019Douglas, Ronald G.; Kaminker, Jerome 1 2016 Curvature invariant and generalized canonical operator models. II. Zbl 1308.47004Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb 4 2014 Some remarks on essentially normal submodules. Zbl 1339.47010Douglas, Ronald G.; Wang, Kai 2 2014 Connections of the Corona problem with operator theory and complex geometry. Zbl 1327.32014Douglas, Ronald G. 1 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 1 2014 Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei 8 2013 A geometric approach to finite rank unitary perturbations. Zbl 1300.47016Douglas, Ronald G.; Liaw, Constanze 6 2013 Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071Douglas, Ronald G.; Putinar, Mihai; Wang, Kai 33 2012 Canonical models for bi-isometries. Zbl 1266.47025Bercovici, H.; Douglas, R. G.; Foias, C. 9 2012 Contractive Hilbert modules and their dilations. Zbl 1301.46027Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb 8 2012 Curvature invariant and generalized canonical operator models. I. Zbl 1264.47016Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb 4 2012 Spectral inclusion theorems. Zbl 1290.47004Douglas, Ronald G.; Eschmeier, Jörg 2 2012 Resolutions of Hilbert modules and similarity. Zbl 1260.46018Douglas, Ronald G.; Foias, Ciprian; Sarkar, Jaydeb 2 2012 Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao 31 2011 A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004Douglas, Ronald G.; Wang, Kai 19 2011 Reducing subspaces on the annulus. Zbl 1257.47011Douglas, Ronald G.; Kim, Yun-Su 11 2011 Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018Douglas, Ronald G.; Sarkar, Jaydeb 11 2011 On the double commutant of Cowen-Douglas operators. Zbl 1230.47036Chen, Li; Douglas, Ronald G.; Guo, Kunyu 7 2011 Invariant expectations and vanishing of bounded cohomology for exact groups. Zbl 1248.57002Douglas, Ronald G.; Nowak, Piotr W. 5 2011 Variations on a theme of Beurling. Zbl 1228.47008Douglas, Ronald G. 2 2011 Confluent operator algebras and the closability property. Zbl 1190.47086Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 6 2010 Some remarks on the Toeplitz corona problem. Zbl 1210.46028Douglas, Ronald G.; Sarkar, Jaydeb 4 2010 Hilbert \(C^{*}\)-modules and amenable actions. Zbl 1404.22050Douglas, Ronald G.; Nowak, Piotr W. 2 2010 A note on semi-Fredholm Hilbert modules. Zbl 1201.47006Douglas, Ronald G.; Sarkar, Jaydeb 1 2010 Bi-isometries and commutant lifting. Zbl 1207.47009Bercovici, Hari; Douglas, Ronald G.; Foias, Ciprian 1 2010 Operator theory and complex geometry. Zbl 1207.46024Douglas, Ronald G. 6 2009 Equivalence of quotient Hilbert modules. II. Zbl 1140.46011Douglas, Ronald G.; Misra, Gadadhar 15 2008 On unitarily equivalent submodules. Zbl 1172.46015Douglas, Ronald G.; Sarkar, Jaydeb 7 2008 Essentially reductive Hilbert modules. II. Zbl 1199.46159Douglas, Ronald G. 6 2008 Essentially reductive Hilbert modules. Zbl 1108.47030Douglas, Ronald G. 27 2006 On the classification of multi-isometries. Zbl 1164.47301Bercovici, H.; Douglas, R. G.; Foias, C. 10 2006 A new kind of index theorem. Zbl 1140.47060Douglas, Ronald G. 10 2006 On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010Douglas, Ronald G.; Foias, Ciprian 5 2006 On quasi-free Hilbert modules. Zbl 1098.46019Douglas, Ronald G.; Misra, Gadadhar 7 2005 The generalized Berezin transform and commutator ideals. Zbl 1106.46042Davidson, Kenneth R.; Douglas, Ronald G. 4 2005 Ideals in Toeplitz algebras. Zbl 1103.46039Douglas, Ronald G. 1 2005 Equivalence of quotient Hilbert modules. Zbl 1066.46043Douglas, Ronald G.; Misra, Gadahar 10 2003 Quasi-free resolution of Hilbert modules. Zbl 1073.47502Douglas, Ronald G.; Misra, Gadadhar 8 2003 Some geometric invariants from resolutions of Hilbert modules. Zbl 1014.46016Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 2 2001 On quotient modules. Zbl 0994.47035Douglas, Ronald G.; Misra, Gadadhar 1 2001 Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016Douglas, Ronald G.; Yang, Rongwei 22 2000 On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian 16 2000 Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001Douglas, Ronald G. 136 1998 Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047Douglas, Ronald G.; Misra, Gadadhar 10 1998 Quotient Hardy modules. Zbl 0983.46038Douglas, Ronald G.; Yang, Rongwei 4 1998 Induced cyclic cocycles and higher eta invariants. Zbl 0882.58050Douglas, Ronald G.; Kaminker, Jerome 1 1997 Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K. 24 1995 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 6 1995 Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068Douglas, Ronald G.; Yan, Keren 10 1993 Uniqueness of multi-variate canonical models. Zbl 0809.47010Douglas, R. G.; Foias, C. 8 1993 Localization of Hilbert modules. Zbl 0807.46060Chen, Xiaoman; Douglas, R. G. 11 1992 A multi-variable Berger-Shaw theorem. Zbl 0817.47027Douglas, R. G.; Yan, Keren 8 1992 Rigidity of Hardy submodules on the unit ball. Zbl 0762.46048Chen, Xiaoman; Douglas, R. G. 5 1992 Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074Douglas, Ronald G.; Wojciechowski, Krzysztof P. 25 1991 Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049Douglas, R. G.; Hurder, S.; Kaminker, J. 12 1991 The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 8 1991 Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035Baum, Paul; Douglas, Ronald G. 8 1991 Elliptic renormalization. Zbl 0810.58043Douglas, Ronald G. 1 1991 On the rigidity of Hardy submodules. Zbl 0727.46028Douglas, R. G.; Yan, Keren 11 1990 Invariants for Hilbert modules. Zbl 0727.46027Douglas, R. G. 5 1990 Hilbert modules over function algebras. Zbl 0686.46035Douglas, Ronald G.; Paulsen, Vern I. 77 1989 Cycles and relative cycles in analytic K-homology. Zbl 0697.58050Baum, Paul; Douglas, Ronald G.; Taylor, Michael E. 26 1989 Operator theory and algebraic geometry. Zbl 0711.47004Douglas, R. G.; Paulsen, Vern; Yan, Keren 15 1989 Another look at real-valued index theory. Zbl 0810.47022Douglas, Ronald G. 5 1989 Eta-invariants and von Neumann algebras. Zbl 0691.58037Douglas, R. G.; Hurder, S.; Kaminker, J. 4 1989 Analytic realization of relative \(K\)-homology on manifolds with boundary and pairing with \(K\)-cohomology. Zbl 0819.58036Douglas, R. G.; Wojciechowski, K. P. 1 1989 Toeplitz operators and the eta invariant: The case of \(S^ 1\). Zbl 0658.47027Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome 3 1988 Elliptic invariants for differential operators. Zbl 0658.58046Douglas, R. G. 1 1988 Invariant subspaces in the polydisk. Zbl 0609.47012Agrawal, O. P.; Clark, D. N.; Douglas, R. G. 32 1986 Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053Douglas, R. G.; Paulsen, V. I. 10 1986 Equivalence of connections. Zbl 0589.53032Cowen, M. J.; Douglas, R. G. 7 1985 Operators possessing an open set of eigenvalues. Zbl 0584.47002Cowen, M. J.; Douglas, R. G. 11 1983 K homology and index theory. Zbl 0532.55004Baum, Paul; Douglas, Ronald G. 23 1982 Index theory, bordism, and K-homology. Zbl 0507.55004Baum, Paul; Douglas, Ronald G. 16 1982 Toeplitz operators and Poincaré duality. Zbl 0517.55001Baum, Paul; Douglas, Ronald G. 2 1982 On moduli for invariant subspaces. Zbl 0509.47006Cowen, M. J.; Douglas, R. G. 1 1982 On the smoothness of sphere extensions. Zbl 0501.46055Douglas, R. G.; Voiculescu, Dan 14 1981 \(C^*\)-algebra extensions and K-homology. Zbl 0458.46049Douglas, Ronald G. 13 1980 Complex geometry and operator theory. Zbl 0427.47016Cowen, M. J.; Douglas, R. G. 154 1978 Local Toeplitz operators. Zbl 0381.47018Douglas, R. G. 20 1978 Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 142 1977 Complex geometry and operator theory. Zbl 0427.47017Cowen, M. J.; Douglas, R. G. 6 1977 Quasi-similar models for nilpotent operators. Zbl 0342.47008Apostol, C.; Douglas, R. G.; Foiaş, Ciprian 5 1977 Extensions of \(C^*\)-algebras and K-homology. Zbl 0348.46050Douglas, R. G. 1 1977 A class of subnormal operators related to multiply-connected domains. Zbl 0321.47019Abrahamse, M. B.; Douglas, R. G. 56 1976 Infinite dimensional versions of a theorem of Brickman-Fillmore. Zbl 0326.47021Douglas, R. G.; Foiaş, Ciprian 10 1976 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 0345.65027Kurpel’, N. S. 7 1976 Operators on multiply connected domains. Zbl 0302.47009Abrahamse, M. B.; Douglas, R. G. 5 1974 Canonical models. Zbl 0336.47008Douglas, R. G. 5 1974 Unitary equivalence modulo the compact operators and extensions of C\(^*\)- algebras. Zbl 0277.46053Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 103 1973 Banach algebra techniques in the theory of Toeplitz operators. Zbl 0252.47025Douglas, R. G. 60 1973 Inner dilations of analytic matrix functions and Darlington synthesis. Zbl 0267.30032Douglas, R. G.; Helton, J. William 24 1973 Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. Zbl 0277.46052Brown, L. G.; Douglas, R. G.; Fillmore, P. A. 15 1973 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,765 Authors 40 Douglas, Ronald George 32 Guo, Kunyu 29 Misra, Gadadhar 24 Silbermann, Bernd 24 Xia, Jingbo 23 Sarkar, Jaydeb 22 Muhly, Paul Scott 21 Zheng, Dechao 19 Böttcher, Albrecht 19 Curto, Raúl Enrique 18 Corach, Gustavo 17 Yang, Rongwei 15 Herrero, Domingo Antonio 15 Ji, Kui 15 Ko, Eungil 15 Lee, Woo Young 14 Ball, Joseph Anthony 14 Deng, Chunyuan 14 Jiang, Chunlan 14 Maestripieri, Alejandra L. 14 Pearcy, Carl Mark Jr. 13 Fritzsche, Bernd 13 Izuchi, Keiji 13 Kirstein, Bernd 13 Popescu, Gelu 12 Foiaş, Ciprian Ilie 12 Hwang, In Sung 12 Izuchi, Kou Hei 12 Karlovich, Yuri I. 11 Arias, M. Laura 11 Arov, Damir Zyamovich 11 Estaremi, Yousef 11 Gonzalez, María Celeste 11 Huang, Hansong 11 Lin, Huaxin 11 Lipacheva, E. V. 10 Clancey, Kevin F. 10 Dyakonov, Konstantin M. 10 Fang, Xiaochun 10 Gu, Caixing 10 Hadwin, Donald W. 10 Izuchi, Yuko 10 Spitkovsky, Ilya Matvey 10 Vasilevski, Nikolai Leonidovich 10 Xu, Qingxiang 9 Carey, Alan L. 9 Coburn, Lewis A. 9 Davidson, Kenneth R. 9 Duggal, Bhagwati Prashad 9 Fuhrmann, Paul A. 9 Ji, Youqing 9 Jung, Il Bong 9 Nakazi, Takahiko 9 Roch, Steffen 9 Ross, William T. 9 Wu, Peiyuan 9 Xia, Daoxing 8 Chavan, Sameer Laxman 8 Cowen, Carl C. 8 Eschmeier, Jorg 8 Fang, Xiang 8 Fialkow, Lawrence A. 8 Kaminker, Jerome 8 Lu, Yufeng 8 Paulsen, Vern Ival 8 Putinar, Mihai 8 Sun, Shunhua 8 ter Horst, Sanne 8 Treil, Sergei 8 Zhao, Xianfeng 7 Deddens, James A. 7 Deeley, Robin J. 7 Ding, Xuanhao 7 Fricain, Emmanuel 7 Gong, Guihua 7 Jørgensen, Palle E. T. 7 Krishna Das, B. 7 Li, Yucheng 7 Luo, Shuaibing 7 McCullough, Scott A. 7 Murphy, Gerard J. 7 Richter, Stefan 7 Rosenblum, Marvin 7 Stojanoff, Demetrio 7 Wang, Penghui 7 Wei, Changguo 7 Yang, Yixin 7 Zhu, Sen 6 Bercovici, Hari 6 Berger, Charles A. 6 Bouldin, Richard 6 Cao, Guangfu 6 Dritschel, Michael A. 6 Frazho, Arthur E. 6 Gallardo-Gutiérrez, Eva Antonia 6 Garcia, Stephan Ramon 6 Gumerov, Renat N. 6 Helton, John William 6 Jury, Michael T. 6 Katsoulis, Elias George ...and 1,665 more Authors all top 5 Cited in 293 Serials 236 Journal of Functional Analysis 197 Integral Equations and Operator Theory 166 Proceedings of the American Mathematical Society 156 Journal of Mathematical Analysis and Applications 88 Linear Algebra and its Applications 86 Transactions of the American Mathematical Society 49 Complex Analysis and Operator Theory 47 Advances in Mathematics 29 Mathematische Annalen 24 Journal of Soviet Mathematics 23 Bulletin of the American Mathematical Society 22 Archiv der Mathematik 22 Banach Journal of Mathematical Analysis 20 Mathematische Nachrichten 20 Bulletin of the American Mathematical Society. New Series 20 Acta Mathematica Sinica. English Series 19 Communications in Mathematical Physics 18 Israel Journal of Mathematics 18 Science China. Mathematics 15 Rocky Mountain Journal of Mathematics 14 Journal of Mathematical Sciences (New York) 12 Acta Mathematica 12 Results in Mathematics 12 \(K\)-Theory 12 Journal of Noncommutative Geometry 11 Journal of Geometry and Physics 11 Duke Mathematical Journal 11 Mathematische Zeitschrift 11 Tohoku 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 Journal of Approximation Theory 10 Siberian Mathematical Journal 10 Systems & Control Letters 10 Lobachevskii Journal of Mathematics 10 Journal of Function Spaces 9 Czechoslovak Mathematical Journal 9 Positivity 9 Mediterranean Journal of Mathematics 9 Operators and Matrices 9 Annals of Functional Analysis 8 Linear and Multilinear Algebra 8 Functional Analysis and its Applications 8 Glasgow Mathematical Journal 8 Numerical Functional Analysis and Optimization 8 International Journal of Mathematics 8 Acta Mathematica Sinica. New Series 7 Bulletin of the Australian Mathematical Society 7 Journal d’Analyse Mathématique 7 Annales de l’Institut Fourier 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Bulletin des Sciences Mathématiques 7 Journal of the Australian Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Multivariate Analysis 6 Journal für die Reine und Angewandte Mathematik 6 Monatshefte für Mathematik 6 Acta Mathematica Hungarica 6 Indagationes Mathematicae. New Series 6 St. Petersburg Mathematical Journal 6 Communications of the Korean Mathematical Society 6 International Journal of Wavelets, Multiresolution and Information Processing 6 Journal of Topology and Analysis 6 Journal of \(K\)-Theory 6 Sahand Communications in Mathematical Analysis 6 Advances in Operator Theory 5 Indian Journal of Pure & Applied Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Arkiv för Matematik 5 Applied Mathematics and Computation 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 The Journal of Geometric Analysis 5 Geometric and Functional Analysis. GAFA 5 Russian Mathematics 5 The New York Journal of Mathematics 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Computational Methods and Function Theory 4 International Journal of Control 4 Studia Mathematica 4 Ukrainian Mathematical Journal 4 Publications Mathématiques 4 Inventiones Mathematicae 4 Journal of Differential Equations 4 Journal of Optimization Theory and Applications 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Acta Applicandae Mathematicae 4 Revista Matemática Iberoamericana 4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Filomat 4 Fixed Point Theory and Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Analysis and Mathematical Physics ...and 193 more Serials all top 5 Cited in 57 Fields 1,460 Operator theory (47-XX) 816 Functional analysis (46-XX) 237 Functions of a complex variable (30-XX) 141 Several complex variables and analytic spaces (32-XX) 122 Global analysis, analysis on manifolds (58-XX) 95 \(K\)-theory (19-XX) 91 Harmonic analysis on Euclidean spaces (42-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 67 Probability theory and stochastic processes (60-XX) 58 Quantum theory (81-XX) 52 Systems theory; control (93-XX) 50 Integral equations (45-XX) 42 Partial differential equations (35-XX) 42 Approximations and expansions (41-XX) 42 Differential geometry (53-XX) 41 Topological groups, Lie groups (22-XX) 41 Abstract harmonic analysis (43-XX) 39 Measure and integration (28-XX) 36 Algebraic topology (55-XX) 36 Numerical analysis (65-XX) 25 Group theory and generalizations (20-XX) 23 Manifolds and cell complexes (57-XX) 19 Mathematical logic and foundations (03-XX) 18 Algebraic geometry (14-XX) 17 Associative rings and algebras (16-XX) 15 Potential theory (31-XX) 15 Integral transforms, operational calculus (44-XX) 14 Category theory; homological algebra (18-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 General topology (54-XX) 11 Combinatorics (05-XX) 11 Statistics (62-XX) 11 Information and communication theory, circuits (94-XX) 10 Nonassociative rings and algebras (17-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Number theory (11-XX) 8 Difference and functional equations (39-XX) 8 Convex and discrete geometry (52-XX) 7 Commutative algebra (13-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 History and biography (01-XX) 5 Field theory and polynomials (12-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Operations research, mathematical programming (90-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Sequences, series, summability (40-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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