Edit Profile (opens in new tab) Berg, I. David Co-Author Distance Author ID: berg.i-david Published as: Berg, I. D.; Berg, I. David Documents Indexed: 41 Publications since 1962, including 1 Additional arXiv Preprint Co-Authors: 17 Co-Authors with 25 Joint Publications 456 Co-Co-Authors all top 5 Co-Authors 16 single-authored 7 Nikolaev, Igor Georgievich 5 Alexander, Stephanie B. 5 Bishop, Richard L. 3 Rubel, Lee Albert 2 Axler, Sheldon Jay 2 Davidson, Kenneth R. 2 Jewell, Nicholas P. 2 Shields, Allen L. 1 Albrecht, Felix 1 Alexander, Ralph 1 Foote, Robert L. 1 Olsen, Catherine L. 1 Peck, N. Tenney 1 Porta, Horacio A. 1 Rajagopalan, Minakshisundaram 1 Sims, Brailey 1 Wilansky, Albert all top 5 Serials 7 Michigan Mathematical Journal 4 Canadian Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 2 Geometriae Dedicata 2 Annals of Mathematics. Second Series 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Journal of Geometry 1 Journal of Operator Theory 1 Journal of the Australian Mathematical Society. Series A 1 Mathematical Chronicle 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Doklady Mathematics 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics all top 5 Fields 15 Differential geometry (53-XX) 12 Operator theory (47-XX) 5 Functional analysis (46-XX) 5 Geometry (51-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 381 times in 322 Documents Cited by ▼ Year ▼ Quasilinearization and curvature of Aleksandrov spaces. Zbl 1144.53045 Berg, I. D.; Nikolaev, I. G. 131 2008 An extension of the Weyl-von Neumann theorem to normal operators. Zbl 0212.15903 Berg, I. D. 45 1971 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 The Riemannian obstacle problem. Zbl 0625.53045 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 20 1987 Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem. Zbl 0731.47009 Berg, I. David; Davidson, Kenneth R. 17 1991 Geometric curvature bounds in Riemannian manifolds with boundary. Zbl 0793.53039 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 17 1993 Denseness of operators which attain their numerical radius. Zbl 0561.47004 Berg, I. D.; Sims, Brailey 16 1984 Uniform distribution in locally compact Abelian groups. Zbl 0165.34401 Berg, I. D.; Rajagopalan, M.; Rubel, L. A. 12 1968 On a distance between directions in an Aleksandrov space of curvature \(\leq K\). Zbl 0977.53033 Berg, I. D.; Nikolaev, I. G. 10 1998 Periodic, almost-periodic, and semiperiodic sequences. Zbl 0128.34001 Berg, I. D.; Wilansky, A. 10 1962 Almost commuting matrices and the Brown-Douglas-Fillmore theorem. Zbl 0644.47015 Berg, I. David; Davidson, Kenneth R. 9 1987 A note on almost-commuting operators. Zbl 0491.47016 Berg, I. D.; Olsen, Catherine L. 7 1981 A Banach algebra criterion for Tauberian theorems. Zbl 0131.05701 Berg, I. D. 7 1964 On approximation of normal operators by weighted shifts. Zbl 0303.47022 Berg, I. D. 7 1974 Open sets of conservative matrices. Zbl 0139.08304 Berg, I. D. 5 1965 Index theory for perturbations of direct sums of normal operators and weighted shifts. Zbl 0396.47015 Berg, I. D. 5 1978 On a extremal property of quadrilaterals in an Aleksandrov space of curvature \(\leq K\). Zbl 1172.53020 Berg, I. D.; Nikolaev, I. G. 5 2007 The conjugate space of the space of semiperiodic sequences. Zbl 0144.16803 Berg, I. D. 4 1966 On a distance characterization of A. D. Aleksandrov spaces of nonpositive curvature. Zbl 1158.53034 Berg, I. D.; Nikolaev, I. G. 4 2007 On operators which almost commute with the shift. Zbl 0584.47026 Berg, I. D. 4 1984 Cauchy uniqueness in the Riemannian obstacle problem. Zbl 0621.53036 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 4 1986 Characterization of Aleksandrov spaces of curvature bounded above by means of the metric Cauchy-Schwarz inequality. Zbl 1402.53027 Berg, I. D.; Nikolaev, Igor G. 4 2018 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 3 1979 There is no continuous projection from the measurable functions on the square onto the measurable functions on the interval. Zbl 0262.46028 Berg, I. D.; Peck, N. T.; Porta, H. 2 1973 The algebra of semiperiodic sequences. Zbl 0195.13902 Berg, I. David 2 1963 An estimate on the total curvature of a geodesic in Euclidean 3-space- with-boundary. Zbl 0493.53036 Berg, I. D. 1 1982 A note on convergence fields. Zbl 0143.28401 Berg, I. D. 1 1966 Densities on locally compact Abelian groups. Zbl 0176.11602 Berg, I. D.; Rubel, L. A. 1 1969 On functions with almost periodic or almost automorphic first differences. Zbl 0186.14201 Berg, I. D. 1 1969 Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes. Zbl 1108.53037 Alexander, Ralph; Berg, I. D.; Foote, Robert L. 1 2005 Geodesics in Euclidean space with analytic obstacle. Zbl 0771.53025 Albrecht, Felix; Berg, I. D. 1 1991 Cut loci, minimizers, and wavefronts in Riemannian manifolds with boundary. Zbl 0817.53023 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 1 1993 Extensions of certain maps to automorphisms of m. Zbl 0203.45002 Berg, I. D. 1 1970 \(K\)-Euler’s inequality in Aleksandrov’s \(\mathrm{CAT}(K)\) space. Zbl 1390.53021 Berg, I. D.; Nikolaev, Igor G. 1 2017 Characterization of Aleksandrov spaces of curvature bounded above by means of the metric Cauchy-Schwarz inequality. Zbl 1402.53027 Berg, I. D.; Nikolaev, Igor G. 4 2018 \(K\)-Euler’s inequality in Aleksandrov’s \(\mathrm{CAT}(K)\) space. Zbl 1390.53021 Berg, I. D.; Nikolaev, Igor G. 1 2017 Quasilinearization and curvature of Aleksandrov spaces. Zbl 1144.53045 Berg, I. D.; Nikolaev, I. G. 131 2008 On a extremal property of quadrilaterals in an Aleksandrov space of curvature \(\leq K\). Zbl 1172.53020 Berg, I. D.; Nikolaev, I. G. 5 2007 On a distance characterization of A. D. Aleksandrov spaces of nonpositive curvature. Zbl 1158.53034 Berg, I. D.; Nikolaev, I. G. 4 2007 Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes. Zbl 1108.53037 Alexander, Ralph; Berg, I. D.; Foote, Robert L. 1 2005 On a distance between directions in an Aleksandrov space of curvature \(\leq K\). Zbl 0977.53033 Berg, I. D.; Nikolaev, I. G. 10 1998 Geometric curvature bounds in Riemannian manifolds with boundary. Zbl 0793.53039 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 17 1993 Cut loci, minimizers, and wavefronts in Riemannian manifolds with boundary. Zbl 0817.53023 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 1 1993 Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem. Zbl 0731.47009 Berg, I. David; Davidson, Kenneth R. 17 1991 Geodesics in Euclidean space with analytic obstacle. Zbl 0771.53025 Albrecht, Felix; Berg, I. D. 1 1991 The Riemannian obstacle problem. Zbl 0625.53045 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 20 1987 Almost commuting matrices and the Brown-Douglas-Fillmore theorem. Zbl 0644.47015 Berg, I. David; Davidson, Kenneth R. 9 1987 Cauchy uniqueness in the Riemannian obstacle problem. Zbl 0621.53036 Alexander, Stephanie B.; Berg, I. David; Bishop, Richard L. 4 1986 Denseness of operators which attain their numerical radius. Zbl 0561.47004 Berg, I. D.; Sims, Brailey 16 1984 On operators which almost commute with the shift. Zbl 0584.47026 Berg, I. D. 4 1984 An estimate on the total curvature of a geodesic in Euclidean 3-space- with-boundary. Zbl 0493.53036 Berg, I. D. 1 1982 A note on almost-commuting operators. Zbl 0491.47016 Berg, I. D.; Olsen, Catherine L. 7 1981 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 3 1979 Index theory for perturbations of direct sums of normal operators and weighted shifts. Zbl 0396.47015 Berg, I. D. 5 1978 On approximation of normal operators by weighted shifts. Zbl 0303.47022 Berg, I. D. 7 1974 There is no continuous projection from the measurable functions on the square onto the measurable functions on the interval. Zbl 0262.46028 Berg, I. D.; Peck, N. T.; Porta, H. 2 1973 An extension of the Weyl-von Neumann theorem to normal operators. Zbl 0212.15903 Berg, I. D. 45 1971 Extensions of certain maps to automorphisms of m. Zbl 0203.45002 Berg, I. D. 1 1970 Densities on locally compact Abelian groups. Zbl 0176.11602 Berg, I. D.; Rubel, L. A. 1 1969 On functions with almost periodic or almost automorphic first differences. Zbl 0186.14201 Berg, I. D. 1 1969 Uniform distribution in locally compact Abelian groups. Zbl 0165.34401 Berg, I. D.; Rajagopalan, M.; Rubel, L. A. 12 1968 The conjugate space of the space of semiperiodic sequences. Zbl 0144.16803 Berg, I. D. 4 1966 A note on convergence fields. Zbl 0143.28401 Berg, I. D. 1 1966 Open sets of conservative matrices. Zbl 0139.08304 Berg, I. D. 5 1965 A Banach algebra criterion for Tauberian theorems. Zbl 0131.05701 Berg, I. D. 7 1964 The algebra of semiperiodic sequences. Zbl 0195.13902 Berg, I. David 2 1963 Periodic, almost-periodic, and semiperiodic sequences. Zbl 0128.34001 Berg, I. D.; Wilansky, A. 10 1962 all cited Publications top 5 cited Publications all top 5 Cited by 378 Authors 20 Izuchukwu, Chinedu 19 Mewomo, Oluwatosin Temitope 14 Ugwunnadi, Godwin Chidi 13 Aremu, Kazeem Olalekan 12 Chang, Shih-Sen 10 Khatibzadeh, Hadi 9 Berg, I. David 7 Hua, Jiajie 6 Wang, Lin 5 Panyanak, Bancha 5 Preechasilp, Pakkapon 4 Alexander, Stephanie B. 4 Bishop, Richard L. 4 Dehghan, Hossein 4 Khan, Abdul Rahim 4 Kumam, Poom 4 Lin, Huaxin 4 Marcoux, Laurent W. 4 Mohebbi, Vahid 4 Nicolae, Adriana 4 Nikolaev, Igor Georgievich 4 Petrunin, Anton Mikhailovich 4 Ranjbar, Sajad 4 Rindler, Harald 4 Sipoş, Andrei 4 Tang, Jinfang 4 Zhu, Sen 3 Abbas, Mujahid 3 Acosta Vigil, María Dolores 3 Aphane, Maggie 3 Davidson, Kenneth R. 3 Hasil, Petr 3 Herrero, Domingo Antonio 3 Izuchi, Keiji 3 Jolaoso, Lateef Olakunle O. 3 Lan, Hengyou 3 Liu, Xindong 3 Lytchak, Alexander 3 Martín Suarez, Miguel 3 Mebawondu, Akindele Adebayo 3 Oyewole, Olawale Kazeem 3 Pouladi, Hadi 3 Shi, Rui 3 Suantai, Suthep 3 Toyoda, Tetsu 3 Vesely, Michal 3 Wangkeeree, Rabian 3 Wen, Chingfeng 3 Xiong, Tingjian 3 Yao, Jen-Chih 3 Younis, Rahman M. 3 Zhao, Liangcai 2 Abass, Hammed Anuoluwapo 2 Ahmadi Kakavandi, Bijan 2 Amara, Zouheir 2 Andres, Jan 2 Axler, Sheldon Jay 2 Benyamini, Yoav 2 Benzinger, Leonora 2 Bërdëllima, Arian 2 Chen, Alatancang 2 Choi, Yun Sung 2 Conway, John B. 2 Dantas, Sheldon 2 de la Sen, Manuel 2 DeFranza, James 2 Eskandani, Golamreza Zamani 2 Fleming, Daniel J. 2 García, Domingo 2 Hadwin, Donald W. 2 Halmos, Paul Richard 2 Hazarika, Bipan 2 Jiang, Chunlan 2 Joharinad, Parvaneh 2 Jost, Jürgen 2 Jung, Mingu 2 Kaewkhao, Attapol 2 Kim, Sun Kwang 2 Lee, Han Ju 2 Li, Qihui 2 López Acedo, Genaro 2 Losert, Viktor 2 Maestre, Manuel 2 Morrel, Bernard B. 2 Naor, Assaf 2 Ng, Ping Wong 2 Okeke, Chibueze Christian 2 Oudghiri, Mourad 2 Pakkaranang, Nuttapol 2 Panov, Dmitri Alekseevich 2 Payá, Rafael 2 Pennequin, Denis 2 Phuengrattana, Withun 2 Raeisi, Masoumeh 2 Ruiz Galán, Manuel 2 Safarov, Yuri G. 2 Salisu, Sani 2 Shahzeen, Sundus 2 Shen, Junhao 2 Sriwongsa, Songpon ...and 278 more Authors all top 5 Cited in 145 Serials 19 Proceedings of the American Mathematical Society 17 Journal of Functional Analysis 14 Transactions of the American Mathematical Society 13 Journal of Mathematical Analysis and Applications 9 Journal of Inequalities and Applications 7 Integral Equations and Operator Theory 7 Mathematische Zeitschrift 7 Fixed Point Theory and Applications 6 Israel Journal of Mathematics 6 Geometriae Dedicata 6 Filomat 5 Numerical Functional Analysis and Optimization 5 Journal of Fixed Point Theory and Applications 4 Mathematische Annalen 4 Geometry & Topology 4 Journal of Nonlinear Science and Applications 4 Afrika Matematika 3 Rocky Mountain Journal of Mathematics 3 Arkiv för Matematik 3 Advances in Mathematics 3 Demonstratio Mathematica 3 Computational and Applied Mathematics 3 Abstract and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Complex Analysis and Operator Theory 3 Asian-European Journal of Mathematics 3 Analysis and Geometry in Metric Spaces 3 Journal of Function Spaces 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Studia Mathematica 2 Archiv der Mathematik 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Optimization 2 Discrete & Computational Geometry 2 International Journal of Mathematics 2 Numerical Algorithms 2 Linear Algebra and its Applications 2 SIAM Journal on Optimization 2 Topological Methods in Nonlinear Analysis 2 St. Petersburg Mathematical Journal 2 Journal of Difference Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Nonlinear Functional Analysis and Applications 2 Journal of the Australian Mathematical Society 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Bulletin of the American Mathematical Society 2 Operators and Matrices 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis Mathematica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Ricerche di Matematica 1 Semigroup Forum 1 Chinese Annals of Mathematics. Series B 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal of Global Optimization ...and 45 more Serials all top 5 Cited in 41 Fields 174 Operator theory (47-XX) 81 General topology (54-XX) 73 Functional analysis (46-XX) 49 Differential geometry (53-XX) 32 Numerical analysis (65-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Approximations and expansions (41-XX) 14 Geometry (51-XX) 14 Operations research, mathematical programming (90-XX) 12 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 10 Sequences, series, summability (40-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Topological groups, Lie groups (22-XX) 7 Mathematical logic and foundations (03-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 6 Abstract harmonic analysis (43-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 3 \(K\)-theory (19-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year