Edit Profile (opens in new tab) Lewis, D. R. Co-Author Distance Author ID: lewis.d-r Published as: Lewis, D. R. Documents Indexed: 28 Publications since 1970 Co-Authors: 8 Co-Authors with 14 Joint Publications 187 Co-Co-Authors all top 5 Co-Authors 14 single-authored 7 Gordon, Yehoram 3 König, Hermann 2 Retherford, James R. 1 Lin, Pei-Kee 1 Smith, Roger R. 1 Stegall, Charles P. 1 Tomczak-Jaegermann, Nicole 1 Wojtaszczyk, Przemyslaw all top 5 Serials 4 Journal of Functional Analysis 3 Israel Journal of Mathematics 3 Studia Mathematica 3 Compositio Mathematica 3 Proceedings of the American Mathematical Society 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Pacific Journal of Mathematics 1 Acta Mathematica 1 Mathematische Nachrichten 1 Mathematika 1 Bulletin of the American Mathematical Society all top 5 Fields 25 Functional analysis (46-XX) 15 Operator theory (47-XX) 2 Measure and integration (28-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 501 times in 413 Documents Cited by ▼ Year ▼ Integration with respect to vector measures. Zbl 0195.14303 Lewis, D. R. 91 1970 Absolutely summing operators and local unconditional structures. Zbl 0291.47017 Gordon, Y.; Lewis, D. R. 66 1974 Finite dimensional subspaces of \(L_p\). Zbl 0406.46023 Lewis, D. R. 55 1978 On integrability and summability in vector spaces. Zbl 0242.28008 Lewis, D. R. 54 1972 Ellipsoids defined by Banach ideal norms. Zbl 0438.46006 Lewis, D. R. 43 1979 Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\). Zbl 0252.46021 Lewis, D. R.; Stegall, C. 43 1973 Banach ideals of operators with applications. Zbl 0272.47024 Gordon, Y.; Lewis, D. R.; Retherford, J. R. 30 1973 Conditional weak compactness in certain inductive tensor products. Zbl 0234.46069 Lewis, D. R. 28 1973 Finite dimensional projection constants. Zbl 0529.46013 Koenig, H.; Lewis, D. R.; Lin, P. K. 20 1983 An isomorphic characterization of the Schmidt class. Zbl 0321.46017 Lewis, D. R. 13 1975 Hilbertian and complemented finite-dimensional subspaces of Banach lattices and unitary ideals. Zbl 0422.46019 Lewis, D. R.; Tomczak-Jaegermann, Nicole 10 1980 Duals of tensor products. Zbl 0376.46044 Lewis, D. R. 7 1977 Banach ideals on Hilbert spaces. Zbl 0316.47025 Gordon, Y.; Lewis, D. R. 6 1975 Banach ideals of operators with applications to the finite dimensional structure of Banach spaces. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0253.46060 Gordon, Y.; Lewis, D. R.; Retherford, J. R. 6 1973 The dimensions of complemented Hilbertian subspaces of uniformly convex Banach lattices. Zbl 0531.46017 Lewis, D. R. 5 1983 Isometries of diagonally symmetric Banach spaces. Zbl 0365.46016 Gordon, Y.; Lewis, D. R. 4 1977 Dvoretzky’s theorem for quasi-normed spaces. Zbl 0704.46004 Gordon, Y.; Lewis, D. R. 3 1991 A vector measure with no derivative. Zbl 0229.28009 Lewis, D. R. 3 1972 Spaces on which each absolutely summing map is nuclear. Zbl 0256.47014 Lewis, D. R. 3 1972 Symmetric bases in Minkowski spaces. Zbl 0363.46020 Lewis, D. R.; Wojtaszczyk, P. 2 1976 A relation between diagonal and unconditonal basis constants. Zbl 0296.46017 Lewis, D. R. 2 1975 Integral operators on \(L_p\)-spaces. Zbl 0269.47015 Lewis, D. R. 2 1973 Absolutely summing, L\(_1\) factorizable operators and their applications. Zbl 0277.47016 Gordon, Y.; Lewis, D. R. 2 1974 A strict inequality for projection constants. Zbl 0631.46023 König, H.; Lewis, D. R. 2 1987 An upper bound for the projection constant. Zbl 0659.46010 Lewis, D. R. 1 1988 Dvoretzky’s theorem for quasi-normed spaces. Zbl 0704.46004 Gordon, Y.; Lewis, D. R. 3 1991 An upper bound for the projection constant. Zbl 0659.46010 Lewis, D. R. 1 1988 A strict inequality for projection constants. Zbl 0631.46023 König, H.; Lewis, D. R. 2 1987 Finite dimensional projection constants. Zbl 0529.46013 Koenig, H.; Lewis, D. R.; Lin, P. K. 20 1983 The dimensions of complemented Hilbertian subspaces of uniformly convex Banach lattices. Zbl 0531.46017 Lewis, D. R. 5 1983 Hilbertian and complemented finite-dimensional subspaces of Banach lattices and unitary ideals. Zbl 0422.46019 Lewis, D. R.; Tomczak-Jaegermann, Nicole 10 1980 Ellipsoids defined by Banach ideal norms. Zbl 0438.46006 Lewis, D. R. 43 1979 Finite dimensional subspaces of \(L_p\). Zbl 0406.46023 Lewis, D. R. 55 1978 Duals of tensor products. Zbl 0376.46044 Lewis, D. R. 7 1977 Isometries of diagonally symmetric Banach spaces. Zbl 0365.46016 Gordon, Y.; Lewis, D. R. 4 1977 Symmetric bases in Minkowski spaces. Zbl 0363.46020 Lewis, D. R.; Wojtaszczyk, P. 2 1976 An isomorphic characterization of the Schmidt class. Zbl 0321.46017 Lewis, D. R. 13 1975 Banach ideals on Hilbert spaces. Zbl 0316.47025 Gordon, Y.; Lewis, D. R. 6 1975 A relation between diagonal and unconditonal basis constants. Zbl 0296.46017 Lewis, D. R. 2 1975 Absolutely summing operators and local unconditional structures. Zbl 0291.47017 Gordon, Y.; Lewis, D. R. 66 1974 Absolutely summing, L\(_1\) factorizable operators and their applications. Zbl 0277.47016 Gordon, Y.; Lewis, D. R. 2 1974 Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\). Zbl 0252.46021 Lewis, D. R.; Stegall, C. 43 1973 Banach ideals of operators with applications. Zbl 0272.47024 Gordon, Y.; Lewis, D. R.; Retherford, J. R. 30 1973 Conditional weak compactness in certain inductive tensor products. Zbl 0234.46069 Lewis, D. R. 28 1973 Banach ideals of operators with applications to the finite dimensional structure of Banach spaces. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0253.46060 Gordon, Y.; Lewis, D. R.; Retherford, J. R. 6 1973 Integral operators on \(L_p\)-spaces. Zbl 0269.47015 Lewis, D. R. 2 1973 On integrability and summability in vector spaces. Zbl 0242.28008 Lewis, D. R. 54 1972 A vector measure with no derivative. Zbl 0229.28009 Lewis, D. R. 3 1972 Spaces on which each absolutely summing map is nuclear. Zbl 0256.47014 Lewis, D. R. 3 1972 Integration with respect to vector measures. Zbl 0195.14303 Lewis, D. R. 91 1970 all cited Publications top 5 cited Publications all top 5 Cited by 370 Authors 26 Sánchez-Pérez, Enrique Alfonso 24 Ricker, Werner Joseph 18 Fernández Carrión, Antonio 18 Naranjo, Francisco 15 Mayoral, Fernando 13 Gordon, Yehoram 12 Lewis, D. R. 11 Okada, Susumu 10 Johnson, William Buhmann 9 Curbera, Guillermo P. 9 del Campo, Ricardo 9 Milman, Vitali D. 8 Delgado, Olvido 8 Nowak, Marian 7 Lewicki, Grzegorz 7 Tomczak-Jaegermann, Nicole 7 Xiong, Ge 6 Argyros, Spiros A. 6 Bourgain, Jean 6 Jiménez Fernández, Eduardo 6 König, Hermann 6 Pisier, Gilles 5 Calabuig, José Manuel 5 Defant, Andreas 5 Koldobsky, Alexander L. 5 Li, Aijun 5 Mastyło, Mieczysław 5 Prochno, Joscha 5 Schechtman, Gideon 5 Szarek, Stanislaw Jerzy 5 Tzafriri, Lior 4 Brooks, James K. 4 Emmanuele, Giovanni 4 Ferenczi, Valentin 4 Ferrando, Irene 4 Figiel, Tadeusz 4 Jarchow, Hans 4 Juan, M. A. 4 Junge, Marius 4 Kalton, Nigel John 4 Leng, Gangsong 4 Lindenstrauss, Joram 4 Motakis, Pavlos 4 Pietsch, Albrecht 4 Retherford, James R. 4 Rodríguez Ruiz, José 4 Schütt, Carsten 4 Stegall, Charles P. 4 Swartz, Charles Wayne 4 Zou, Du 3 Basso, Giuliano 3 Bu, Qingying 3 Chakraborty, N. D. 3 Chalmers, Bruce Longworthy 3 Dinculeanu, Nicolae 3 Galaz-Fontes, Fernando 3 Galicer, Daniel 3 García-Vázquez, Juan Carlos 3 Gasparis, Ioannis 3 Ghoussoub, Nassif A. 3 Haydon, Richard G. 3 Kang, JeongHeung 3 Kawabe, Jun 3 Kosov, Egor D. 3 Kusraev, Anatoliĭ Georgievich 3 Makarov, Boris Mikhaĭlovich 3 Oikhberg, Timur 3 Paouris, Grigoris 3 Pérez-García, David 3 Sukochev, Fedor Anatol’evich 3 Tasoev, Batradz Botazovich 3 Ylinen, Kari 2 Alò, Richard A. 2 Alspach, Dale E. 2 Arazy, Jonathan 2 Avalos-Ramos, Celia 2 Benyamini, Yoav 2 Botelho, Geraldo 2 Bukhvalov, Alexander V. 2 Carando, Daniel G. 2 Casazza, Peter George 2 Castejón, Alberto 2 Cuellar Carrera, Wilson 2 de Korvin, André 2 Deregowska, Beata 2 Dilworth, Stephen J. 2 Dodds, Peter G. 2 Duchoň, Miloslav 2 Fernández-Unzueta, Maite 2 Foucart, Simon 2 García-Raffi, Luis M. 2 Ghenciu, Ioana 2 Godefroy, Gilles 2 Heinrich, Stefan 2 Hu, Jiaqi 2 Hug, Daniel 2 Ivanov, Grigory M. 2 Kabluchko, Zakhar A. 2 Kislyakov, Sergeĭ Vital’evich 2 Kobos, Tomasz ...and 270 more Authors all top 5 Cited in 95 Serials 41 Journal of Mathematical Analysis and Applications 39 Israel Journal of Mathematics 37 Journal of Functional Analysis 17 Mathematische Annalen 14 Transactions of the American Mathematical Society 14 Positivity 13 Advances in Mathematics 12 Proceedings of the American Mathematical Society 10 Indagationes Mathematicae. New Series 9 Journal of Approximation Theory 8 Compositio Mathematica 8 Czechoslovak Mathematical Journal 8 Mathematische Nachrichten 7 Archiv der Mathematik 7 Integral Equations and Operator Theory 6 Acta Mathematica 5 The Journal of Geometric Analysis 4 Mathematical Notes 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Studia Mathematica 4 Journal of Soviet Mathematics 4 Mathematische Zeitschrift 4 Siberian Mathematical Journal 4 Acta Mathematica Sinica. English Series 4 Bulletin of the American Mathematical Society 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Geometriae Dedicata 3 Glasgow Mathematical Journal 3 Mathematica Slovaca 3 Monatshefte für Mathematik 3 Quaestiones Mathematicae 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Topology and its Applications 3 Discrete & Computational Geometry 3 Linear Algebra and its Applications 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Journal of Function Spaces and Applications 3 Mediterranean Journal of Mathematics 3 Korean Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Bulletin of the London Mathematical Society 2 Collectanea Mathematica 2 Functiones et Approximatio. Commentarii Mathematici 2 Functional Analysis and its Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Journal of Complexity 2 Journal of Convex Analysis 2 Annals of Mathematics. Second Series 2 Advances in Geometry 2 Journal of the Australian Mathematical Society 2 Journal of Function Spaces 1 Linear and Multilinear Algebra 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matematico della Università di Padova 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Theoretical Probability 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Annales Mathematicae Silesianae 1 Journal of Evolution Equations 1 Hacettepe Journal of Mathematics and Statistics 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Proyecciones 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Applied General Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Dolomites Research Notes on Approximation 1 Mathematics and Mechanics of Complex Systems 1 Journal of Operators all top 5 Cited in 32 Fields 332 Functional analysis (46-XX) 142 Operator theory (47-XX) 66 Measure and integration (28-XX) 52 Convex and discrete geometry (52-XX) 20 Approximations and expansions (41-XX) 12 Probability theory and stochastic processes (60-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Computer science (68-XX) 7 Real functions (26-XX) 6 Abstract harmonic analysis (43-XX) 5 Quantum theory (81-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year