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## Schatten, Robert

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 Author ID: schatten.robert Published as: Schatten, R.; Schatten, Robert External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 15 Publications since 1943, including 3 Books

#### Co-Authors

 12 single-authored 2 von Neumann, John 1 Dunford, Nelson
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#### Serials

 4 Annals of Mathematics. Second Series 3 Transactions of the American Mathematical Society 2 American Mathematical Monthly 2 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Journal of Research of the National Bureau of Standards 1 Annals of Mathematics Studies

#### Fields

 1 Functional analysis (46-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 577 times in 525 Documents Cited by Year
Norm ideals of completely continuous operators. Zbl 0090.09402
Schatten, Robert
1960
A theory of cross-spaces. Zbl 0041.43502
Schatten, R.
1950
Norm ideals of completely continuous operators. Zbl 0188.44103
Schatten, R.
1970
“Closing-up” of sequence spaces. Zbl 0039.33503
Schatten, Robert
1950
The cross-space of linear transformations. II. Zbl 0063.06772
Schatten, Robert; von Neumann, John
1946
The cross-space of linear transformations. III. Zbl 0032.03201
Schatten, Robert; von Neumann, John
1948
The space of completely continuous operators on a Hilbert space. Zbl 0079.12801
Schatten, Robert
1957
The cross-space of linear transformations. Zbl 0063.06771
Schatten, Robert
1946
On the direct product of Banach spaces. Zbl 0063.06769
Schatten, Robert
1943
On the associate and conjugate space for the direct product of Banach spaces. Zbl 0063.01186
Dunford, Nelson; Schatten, Robert
1946
A non-approximation theorem. Zbl 0107.05002
Schatten, R.
1962
On reflexive norms for the direct product of Banach spaces. Zbl 0063.06770
Schatten, Robert
1943
On projections with bound 1. Zbl 0029.13903
Schatten, R.
1947
Norm ideals of completely continuous operators. Zbl 0188.44103
Schatten, R.
1970
A non-approximation theorem. Zbl 0107.05002
Schatten, R.
1962
Norm ideals of completely continuous operators. Zbl 0090.09402
Schatten, Robert
1960
The space of completely continuous operators on a Hilbert space. Zbl 0079.12801
Schatten, Robert
1957
A theory of cross-spaces. Zbl 0041.43502
Schatten, R.
1950
“Closing-up” of sequence spaces. Zbl 0039.33503
Schatten, Robert
1950
The cross-space of linear transformations. III. Zbl 0032.03201
Schatten, Robert; von Neumann, John
1948
On projections with bound 1. Zbl 0029.13903
Schatten, R.
1947
The cross-space of linear transformations. II. Zbl 0063.06772
Schatten, Robert; von Neumann, John
1946
The cross-space of linear transformations. Zbl 0063.06771
Schatten, Robert
1946
On the associate and conjugate space for the direct product of Banach spaces. Zbl 0063.01186
Dunford, Nelson; Schatten, Robert
1946
On the direct product of Banach spaces. Zbl 0063.06769
Schatten, Robert
1943
On reflexive norms for the direct product of Banach spaces. Zbl 0063.06770
Schatten, Robert
1943
all top 5

#### Cited by 547 Authors

 12 Holub, James R. 9 Pietsch, Albrecht 8 Kittaneh, Fuad 7 Balazs, Peter 7 Sukochev, Fedor Anatol’evich 6 Bhatia, Rajendra 6 Herrero, Domingo Antonio 6 Jamison, James Edward 6 Jensen, Donald R. 6 Watanabe, Noboru 6 Xia, Jingbo 5 Botelho, Fernanda 5 Guz, Wawrzyniec 5 Helminck, Gerardus Franciscus 5 Retherford, James R. 5 Sourour, Ahmed Ramzi 4 Dvurečenskij, Anatolij 4 Fong, Che-Kao 4 Helminck, Aloysius G. 4 Kakihara, Yûichirô 4 Kannan, Devika 4 Rahimi, Asghar 3 Barraa, Mohamed 3 Batty, Charles J. K. 3 Bharucha-Reid, Albert Turner 3 Boumazgour, Mohamed 3 Brandstatter, J. J. 3 Carroll, Robert W. 3 Chilin, Vladimir Ivanovich 3 Davis, Chandler 3 Derksen, Harm 3 Djouadi, Seddik M. 3 Fialkow, Lawrence A. 3 Gelbaum, Bernard R. 3 Gordon, Yehoram 3 Gross, Leonard 3 Haußmann, Werner 3 Heinrich, Stefan 3 Jocić, Danko R. 3 Lewis, D. R. 3 Li, Chi-Kwong 3 Nakamoto, Ritsuo 3 Nakamura, Masahiro 3 Ohya, Masanori 3 Opimakh, A. V. 3 Peltzer, C. P. 3 Reinov, Oleg I. 3 Schatten, Robert 3 Simon, Barry 3 Stoeva, Diana T. 3 Turumaru, Takasi 3 Weiss, Gary 3 Yanagi, Kenjiro 3 Zanin, Dmitriy V. 2 Arefijamaal, Ali Akbar 2 Baker, J. M. 2 Bedin, Luciano 2 Ber, Aleksey Feliksovich 2 Brown, Clifford C. 2 Cabrera García, Miguel 2 Chan, Ming-Kam 2 Cook, Thurlow A. 2 Cordes, Heinz Otto 2 Davies, Edward Brian 2 De Palma, Giacomo 2 Dechevsky, Lubomir T. 2 Delgado, Julio 2 Dirschmid, Hans Jörg 2 Dodds, Peter G. 2 Fang, Junsheng 2 Fragoulopoulou, Maria 2 Friedland, Shmuel 2 Furuta, Takayuki 2 Grossmann, Alex 2 Grothendieck, Alexander 2 Grudziński, Hubert 2 Hadwin, Donald W. 2 Harte, Robin E. 2 Holbrook, John A. R. 2 Hudson, Robin Lyth 2 Ichinose, Takashi 2 Johnson, William Buhmann 2 Junge, Marius 2 Kasahara, Isamu 2 Kaup, Wilhelm Gerhard 2 Korsunskii, L. M. 2 Lanéry, Suzanne 2 Laursen, Kjeld Bagger 2 Loupias, Guy 2 Mandrekar, Vidyadhar S. 2 Marcus, Marvin D. 2 Marques de Sá, Eduardo 2 Mathes, Ben 2 Milošević, Stefan 2 Mirsky, Leon 2 Morrell, J. S. 2 Muhly, Paul Scott 2 Ozawa, Masanao 2 Palko, Vladimír 2 Pearcy, Carl Mark Jr. ...and 447 more Authors
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#### Cited in 130 Serials

 42 Proceedings of the American Mathematical Society 37 Journal of Functional Analysis 32 Transactions of the American Mathematical Society 31 Journal of Mathematical Analysis and Applications 28 Linear Algebra and its Applications 22 Mathematische Annalen 16 Reports on Mathematical Physics 15 Bulletin of the American Mathematical Society 14 Proceedings of the Japan Academy 13 Tohoku Mathematical Journal. Second Series 12 Communications in Mathematical Physics 11 Israel Journal of Mathematics 10 Mathematische Nachrichten 8 Journal of Approximation Theory 7 Journal of Geometry and Physics 7 Mathematische Zeitschrift 6 International Journal of Theoretical Physics 6 Advances in Mathematics 6 Compositio Mathematica 6 Integral Equations and Operator Theory 6 Journal of Multivariate Analysis 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Rocky Mountain Journal of Mathematics 5 Mathematica Slovaca 4 Journal of Mathematical Physics 4 Linear and Multilinear Algebra 4 Glasgow Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 3 Bulletin of the Australian Mathematical Society 3 Letters in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematics of Computation 3 Kodai Mathematical Journal 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Quaestiones Mathematicae 3 Results in Mathematics 3 Siberian Mathematical Journal 3 Systems & Control Letters 3 Complex Analysis and Operator Theory 3 Advances in Operator Theory 2 Communications in Algebra 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Annales de l’Institut Fourier 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Computing 2 Journal of Computational and Applied Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Zeitschrift für Analysis und ihre Anwendungen 2 Aequationes Mathematicae 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Annals of Physics 2 Indagationes Mathematicae. New Series 2 Russian Journal of Mathematical Physics 2 Journal of the Australian Mathematical Society 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Foundations of Physics 2 Kodai Mathematical Seminar Reports 2 Journal of Pseudo-Differential Operators and Applications 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Applied Algebra and Geometry 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Physics Letters. A 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Economics 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Optimization 1 Japan Journal of Applied Mathematics 1 Journal of Complexity 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics ...and 30 more Serials
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#### Cited in 49 Fields

 219 Operator theory (47-XX) 187 Functional analysis (46-XX) 44 Quantum theory (81-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 25 Probability theory and stochastic processes (60-XX) 20 Approximations and expansions (41-XX) 18 Information and communication theory, circuits (94-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Partial differential equations (35-XX) 15 Numerical analysis (65-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Abstract harmonic analysis (43-XX) 10 Measure and integration (28-XX) 9 Topological groups, Lie groups (22-XX) 8 Mathematical logic and foundations (03-XX) 8 Integral equations (45-XX) 7 Statistics (62-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 5 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 $$K$$-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

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