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Author ID: berg.i-david Recent zbMATH articles by "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

Publications by Year

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 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