# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 68 Publications since 1985, including 1 Book Reviewing Activity: 370 Reviews
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#### Co-Authors

 19 single-authored 12 Grivaux, Sophie 9 Müller, Vladimír 6 Badea, Ion 5 Mbekhta, Mostafa 5 Suciu, Laurian 4 Cottin, Claudia 4 Crouzeix, Michel 4 Gonska, Heinz Herbert 3 Andrica, Dorin 2 Seifert, David 1 Beckermann, Bernhard 1 Buzeţeanu, Şerban N. 1 Cassier, Gilles 1 Delyon, Bernard 1 Devinck, Vincent 1 Klaja, Hubert 1 Li, Daniel 1 Lyubich, Yuriĭ Il’ich 1 Matheron, Étienne 1 Paulsen, Vern Ival 1 Petkova, Violeta 1 Rasa, Ioan 1 Timotin, Dan
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#### Serials

 3 Studia Mathematica 3 Journal of Functional Analysis 3 Journal of Operator Theory 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Approximation Theory 2 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics and Physics. Research Seminars 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Acta Arithmetica 1 Acta Scientiarum Mathematicarum 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Real Analysis Exchange 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Approximation Theory and its Applications 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 St. Petersburg Mathematical Journal 1 Nonlinear Functional Analysis and Applications 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Preprint. “Babeş-Bolyai” University. Faculty of Mathematics. Research Seminars 1 Journal of Applied Functional Analysis 1 Theta Series in Advanced Mathematics 1 Operators and Matrices 1 Pure and Applied Functional Analysis
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#### Fields

 35 Operator theory (47-XX) 15 Functional analysis (46-XX) 14 Approximations and expansions (41-XX) 7 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Abstract harmonic analysis (43-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 307 times in 178 Documents Cited by Year
A test function theorem and approximation by pseudopolynomials. Zbl 0595.41017
1986
Notes on degree of approximation of B-continuous and B-differentiable functions. Zbl 0671.41013
1988
Korovkin-type theorems for generalized Boolean sum operators. Zbl 0765.41020
1991
Unimodular eigenvalues, uniformly distributed sequences and linear dynamics. Zbl 1123.47006
2007
The irrationality of certain infinite series. Zbl 0629.10027
1987
The rate of convergence in the method of alternating projections. Zbl 1294.47026
Badea, C.; Grivaux, S.; Müller, V.
2012
Grüss’ inequality for positive linear functionals. Zbl 0619.26011
1988
$$K$$-functionals and moduli of smoothness of functions defined on compact metric spaces. Zbl 0836.46065
1995
Bernstein polynomials and operator theory. Zbl 1198.47028
2009
The stable rank of topological algebras and a problem of R. G. Swan. Zbl 0921.46053
1998
Convex domains and K-spectral sets. Zbl 1084.47004
Badea, Catalin; Crouzeix, Michel; Delyon, Bernard
2006
Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces. Zbl 1215.47004
2010
Intersections of several disks of the Riemann sphere as $$K$$-spectral sets. Zbl 1169.47008
Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel
2009
Multiples of hypercyclic operators. Zbl 1168.47007
2009
The Cauchy dual and 2-isometric liftings of concave operators. Zbl 1435.47017
2019
A theorem on irrationality of infinite series and applications. Zbl 0770.11036
1993
A generalization of the Friedrichs angle and the method of alternating projections. Zbl 1191.46021
2010
Operators similar to partial isometries. Zbl 1122.47001
2005
Schur multipliers and operator-valued Foguel-Hankel operators. Zbl 1031.47019
2001
Constrained von Neumann inequalities. Zbl 1049.47004
2002
Size of the peripheral point spectrum under power or resolvent growth conditions. Zbl 1126.47001
2007
Ritt operators and convergence in the method of alternating projections. Zbl 1336.41013
2016
On the Hyers-Ulam stability of mappings: The direct method. Zbl 0845.39011
1994
The general linear equation is stable. Zbl 1076.39023
2005
Perturbations of operators similar to contractions and the commutator equation. Zbl 1015.47011
2002
Epsilon-hypercyclic operators. Zbl 1206.47009
2010
Jensen’s and Jessen’s inequality, convexity-preserving and approximating polynomial operators and Korovkin’s theorem. Zbl 0681.26008
1986
Growth conditions and inverse producing extensions. Zbl 1122.47007
2005
Kazhdan sets in groups and equidistribution properties. Zbl 1369.22004
2017
On weak orbits of operators. Zbl 1204.47001
2009
Compressions of resolvents and maximal radius of regularity. Zbl 0919.47003
1999
Operators near completely polynomially dominated ones and similarity problems. Zbl 1019.47010
2003
On the order of simultaneous approximation of bivariate functions by Bernstein operators. Zbl 0638.41018
1987
Generalized inverses and the maximal radius of regularity of a Fredholm operator. Zbl 0897.47001
1997
The Gleason-Kahane-Zelazko theorem and Ransford’s generalized spectra. Zbl 0739.46035
1991
Faber-hypercyclic operators. Zbl 1156.47008
2008
Sets of integers determined by operator-theoretical properties: Jamison and Kazhdan sets in the group $$\mathbb{Z}$$. Zbl 1412.22013
2017
Spectral sets and operator radii. Zbl 07000659
Badea, Catalin; Crouzeix, Michel; Klaja, Hubert
2018
Inverse of Čebyšev’s inequality. Zbl 0757.26019
1985
Bögel functions, tensor products and blending approximation. Zbl 0830.41027
Badea, C.; Cottin, C.; Gonska, Heinz H.
1995
On existence of one-sided and generalized resolvents of bounded linear operators. Zbl 0946.47002
1998
The Gleason-Kahane-Zelazko property and Korovkin systems in symmetric involutive Banach algebras. Zbl 0781.46040
1993
The Gleason-Kahane-Zelazko theorem. Zbl 0824.46054
1994
A Korovkin-type theorem for generalizations of Boolean sum operators and approximation by trigonometric pseudopolynomials. Zbl 0671.42003
1988
Similarity problems, Følner sets and isometric representations of amenable semigroups. Zbl 07037521
2019
Subalgebras with the same $$K$$-theory and the same stable rank. Zbl 0832.46062
1994
Subscalar operators and growth of resolvent. Zbl 1122.47033
2006
Classes of contractions and Harnack domination. Zbl 1459.47007
Badea, Catalin; Suciu, Laurian; Timotin, Dan
2017
Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences. Zbl 1451.43001
2020
Quantified asymptotic behaviour of Banach space operators and applications to iterative projection methods. Zbl 07296488
2017
Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences. Zbl 1451.43001
2020
The Cauchy dual and 2-isometric liftings of concave operators. Zbl 1435.47017
2019
Similarity problems, Følner sets and isometric representations of amenable semigroups. Zbl 07037521
2019
Spectral sets and operator radii. Zbl 07000659
Badea, Catalin; Crouzeix, Michel; Klaja, Hubert
2018
Kazhdan sets in groups and equidistribution properties. Zbl 1369.22004
2017
Sets of integers determined by operator-theoretical properties: Jamison and Kazhdan sets in the group $$\mathbb{Z}$$. Zbl 1412.22013
2017
Classes of contractions and Harnack domination. Zbl 1459.47007
Badea, Catalin; Suciu, Laurian; Timotin, Dan
2017
Quantified asymptotic behaviour of Banach space operators and applications to iterative projection methods. Zbl 07296488
2017
Ritt operators and convergence in the method of alternating projections. Zbl 1336.41013
2016
The rate of convergence in the method of alternating projections. Zbl 1294.47026
Badea, C.; Grivaux, S.; Müller, V.
2012
Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces. Zbl 1215.47004
2010
A generalization of the Friedrichs angle and the method of alternating projections. Zbl 1191.46021
2010
Epsilon-hypercyclic operators. Zbl 1206.47009
2010
Bernstein polynomials and operator theory. Zbl 1198.47028
2009
Intersections of several disks of the Riemann sphere as $$K$$-spectral sets. Zbl 1169.47008
Badea, Catalin; Beckermann, Bernhard; Crouzeix, Michel
2009
Multiples of hypercyclic operators. Zbl 1168.47007
2009
On weak orbits of operators. Zbl 1204.47001
2009
Faber-hypercyclic operators. Zbl 1156.47008
2008
Unimodular eigenvalues, uniformly distributed sequences and linear dynamics. Zbl 1123.47006
2007
Size of the peripheral point spectrum under power or resolvent growth conditions. Zbl 1126.47001
2007
Convex domains and K-spectral sets. Zbl 1084.47004
Badea, Catalin; Crouzeix, Michel; Delyon, Bernard
2006
Subscalar operators and growth of resolvent. Zbl 1122.47033
2006
Operators similar to partial isometries. Zbl 1122.47001
2005
The general linear equation is stable. Zbl 1076.39023
2005
Growth conditions and inverse producing extensions. Zbl 1122.47007
2005
Operators near completely polynomially dominated ones and similarity problems. Zbl 1019.47010
2003
Constrained von Neumann inequalities. Zbl 1049.47004
2002
Perturbations of operators similar to contractions and the commutator equation. Zbl 1015.47011
2002
Schur multipliers and operator-valued Foguel-Hankel operators. Zbl 1031.47019
2001
Compressions of resolvents and maximal radius of regularity. Zbl 0919.47003
1999
The stable rank of topological algebras and a problem of R. G. Swan. Zbl 0921.46053
1998
On existence of one-sided and generalized resolvents of bounded linear operators. Zbl 0946.47002
1998
Generalized inverses and the maximal radius of regularity of a Fredholm operator. Zbl 0897.47001
1997
$$K$$-functionals and moduli of smoothness of functions defined on compact metric spaces. Zbl 0836.46065
1995
Bögel functions, tensor products and blending approximation. Zbl 0830.41027
Badea, C.; Cottin, C.; Gonska, Heinz H.
1995
On the Hyers-Ulam stability of mappings: The direct method. Zbl 0845.39011
1994
The Gleason-Kahane-Zelazko theorem. Zbl 0824.46054
1994
Subalgebras with the same $$K$$-theory and the same stable rank. Zbl 0832.46062
1994
A theorem on irrationality of infinite series and applications. Zbl 0770.11036
1993
The Gleason-Kahane-Zelazko property and Korovkin systems in symmetric involutive Banach algebras. Zbl 0781.46040
1993
Korovkin-type theorems for generalized Boolean sum operators. Zbl 0765.41020
1991
The Gleason-Kahane-Zelazko theorem and Ransford’s generalized spectra. Zbl 0739.46035
1991
Notes on degree of approximation of B-continuous and B-differentiable functions. Zbl 0671.41013
1988
Grüss’ inequality for positive linear functionals. Zbl 0619.26011
1988
A Korovkin-type theorem for generalizations of Boolean sum operators and approximation by trigonometric pseudopolynomials. Zbl 0671.42003
1988
The irrationality of certain infinite series. Zbl 0629.10027
1987
On the order of simultaneous approximation of bivariate functions by Bernstein operators. Zbl 0638.41018
1987
A test function theorem and approximation by pseudopolynomials. Zbl 0595.41017
1986
Jensen’s and Jessen’s inequality, convexity-preserving and approximating polynomial operators and Korovkin’s theorem. Zbl 0681.26008
1986
Inverse of Čebyšev’s inequality. Zbl 0757.26019
1985
all top 5

#### Cited by 206 Authors

 16 Agrawal, Purshottam Narain 15 Badea, Catalin 10 Grivaux, Sophie 9 İspir, Nurhayat 9 Peris, Alfredo 7 Acu, Ana Maria 7 Mbekhta, Mostafa 7 Suciu, Laurian 6 Müller, Vladimír 6 Reich, Simeon 5 Baxhaku, Behar 5 Kajla, Arun 4 Bès, Juan P. 4 Muraru, Carmen Violeta 4 Seifert, David 4 Sidharth, Manjari 4 Yin, Zongbin 3 Chen, Yuming 3 Demirci, Kamil 3 Doğru, Ogün 3 Dragomir, Sever Silvestru 3 Majdak, Witold 3 Menet, Quentin 3 Murillo-Arcila, Marina 3 Pustylnik, Evgeniy 3 Rasa, Ioan 3 Souroujon, Diko M. 3 Zapryanova, Teodora Dimova 2 Aiemsomboon, Laddawan 2 Anastassiou, George Angelos 2 Andrica, Dorin 2 Bărbosu, Dan 2 Bargetz, Christian 2 Bartoll, Salud 2 Bayart, Frédéric 2 Bickel, Kelly 2 Chauhan, Ruchi 2 Chavan, Sameer Laxman 2 Conejero, José Alberto 2 Crouzeix, Michel 2 Dirik, Fadime 2 Dritschel, Michael A. 2 Ezzahraoui, Hamid 2 Feshchenko, Ivan S. 2 Garg, Tarul 2 Gavrea, Ioan 2 Gorkin, Pamela B. 2 Greenbaum, Anne 2 He, Shengnan 2 Ivan, Mircea Dumitru 2 Jabłoński, Zenon Jan 2 Kumar, Dharmendra 2 Luo, Lvlin 2 Martínez-Giménez, Félix 2 Milovanović, Emina I. 2 Milovanović, Igor Ž. 2 Nagler, Johannes 2 Ng, Abraham C. S. 2 Oppenheim, Izhar 2 Puig, Yunied 2 Ransford, Thomas J. 2 Schwenninger, Felix L. 2 Sintunavarat, Wutiphol 2 Stochel, Jan 2 Yakubovich, Dmitry V. 2 Zalas, Rafał 2 Zaslavski, Alexander Yakovlevich 2 Zerouali, El Hassan 1 Acar, Tuncer 1 Alhevaz, Abdollah 1 Aliaga, Edmond 1 Anand, Akash 1 Andersson, Fredrik K. 1 Araci, Serkan 1 Arias, M. Laura 1 Aslan, Reşat 1 Badea, Eugen A. 1 Baghipur, Maryam 1 Bamerni, Nareen 1 Beckermann, Bernhard 1 Begen, Selin 1 Bërdëllima, Arian 1 Bermúdez, Teresa 1 Bonilla, Antonio 1 Borodin, Petr A. 1 Boshernitzan, Michael D. 1 Bruneau, Laurent 1 Canatan, Reyhan 1 Carlsson, Marcus 1 Cerejeiras, Paula 1 Chatterji, Indira 1 Chen, Zhijing 1 Ciurdariu, Loredana 1 Cohen, Guy 1 Costakis, George 1 Cottin, Claudia 1 Cuny, Christophe 1 Darwin, Oscar 1 Dayan, Yiftach 1 Devinck, Vincent ...and 106 more Authors
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#### Cited in 83 Serials

 16 Journal of Mathematical Analysis and Applications 10 Journal of Functional Analysis 10 Results in Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Journal of Approximation Theory 7 Linear Algebra and its Applications 5 Israel Journal of Mathematics 4 Applied Mathematics and Computation 4 Archiv der Mathematik 3 Integral Equations and Operator Theory 3 Transactions of the American Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Inequalities and Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Periodica Mathematica Hungarica 2 Studia Mathematica 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Quaestiones Mathematicae 2 Indagationes Mathematicae. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Turkish Journal of Mathematics 2 Abstract and Applied Analysis 2 Computational Methods and Function Theory 2 Mediterranean Journal of Mathematics 2 Complex Analysis and Operator Theory 2 Asian-European Journal of Mathematics 2 Annals of Functional Analysis 2 Journal of Function Spaces 1 Discrete Applied Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 Fasciculi Mathematici 1 Journal of Differential Equations 1 Matematički Vesnik 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Semigroup Forum 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 COMPEL 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Expositiones Mathematicae 1 The Journal of Analysis 1 St. Petersburg Mathematical Journal 1 Filomat 1 Documenta Mathematica 1 Mathematical Communications 1 Honam Mathematical Journal 1 Positivity 1 Journal of Evolution Equations 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 Analysis and Mathematical Physics 1 Carpathian Mathematical Publications 1 Concrete Operators 1 Open Mathematics 1 Advances in Operator Theory 1 Bollettino dell’Unione Matematica Italiana 1 Constructive Mathematical Analysis
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#### Cited in 32 Fields

 97 Operator theory (47-XX) 55 Approximations and expansions (41-XX) 18 Functional analysis (46-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 3 Topological groups, Lie groups (22-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)