Topic · Advanced Banach Space Theory
Most cited papers in Advanced Banach Space Theory
What are the most cited papers in Advanced Banach Space Theory?
The most cited paper in Advanced Banach Space Theory is "Topological Vector Spaces." (M. S. Ramanujan, Helmut Schaefer, 1967), with 3,968 citations. Next come "Hp spaces of several variables" (2,887) and "Proximité et dualité dans un espace hilbertien" (1,450).
Showing 50 of 100 papers. Every paper with more than 271 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Topological Vector Spaces. M. S. Ramanujan, Helmut Schaefer · American Mathematical Monthly | Mar 1967 | 3,968 |
| 2 | Hp spaces of several variables Charles Fefferman, E. M. Stein · Acta Mathematica | 1972 | 2,887 |
| 3 | Proximité et dualité dans un espace hilbertien Jean Jacques Moreau · Bulletin de la Société mathématique de France | 1965 | 1,450 |
| 4 | Vector-valued laplace transforms and cauchy problems Wolfgang Arendt · Israel Journal of Mathematics | Oct 1987 | 1,437 |
| 5 | Inequalities in Banach spaces with applications Hong‐Kun Xu · Nonlinear Analysis | 1991 | 1,095 |
| 6 | Sur certains groupes d'opérateurs unitaires ANDRE A. WEIL · Acta Mathematica | 1964 | 1,083 |
| 7 | Differentiability of Lipschitz Functions on Metric Measure Spaces Jeff Cheeger · Geometric and Functional Analysis | Aug 1999 | 1,066 |
| 8 | Conjectures and Refutations Karl Raimund Popper, George Elford Hudson · Physics Today | Nov 1963 | 1,040 |
| 9 | Normed Linear Spaces Mahlon Marsh Day | 1962 | 1,037 |
| 10 | On convergence and growth of partial sums of Fourier series Lennart Carleson · Acta Mathematica | 1966 | 1,022 |
| 11 | Absolutely Summing Operators Joseph Diestel, Hans Jarchow, Andrew M. Tonge · Graduate texts in mathematics | 27 May 2006 | 952 |
| 12 | Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions Richard C. Bradley · Probability Surveys | 2005 | 922 |
| 13 | A class ofC *-algebras and topological Markov chains Joachim Cuntz, Wolfgang Krieger · Inventiones mathematicae | Oct 1980 | 922 |
| 14 | A proof of the Bieberbach conjecture Louis de Branges · Acta Mathematica | 1985 | 916 |
| 15 | Orbits of families of vector fields and integrability of distributions Héctor J. Sussmann · Transactions of the American Mathematical Society | 1973 | 788 |
| 16 | Generalizeds-numbers ofτ-measurable operators Thierry Fack, Hideki Kosaki · Pacific Journal of Mathematics | Jun 1986 | 717 |
| 17 | Integrals, conditional expectations, and martingales of multivalued functions Fumio Hiai, Hisaharu Umegaki · Journal of Multivariate Analysis | Mar 1977 | 714 |
| 18 | Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity Lutz W. Weis · Mathematische Annalen | Apr 2001 | 703 |
| 19 | Morita Equivalence and Continuous-Trace $C^*$-Algebras Iain Raeburn, Dana P. Williams · CERN Document Server (European Organization for Nuclear Research) | 3 Aug 1998 | 651 |
| 20 | On Square Integrable Martingales Hiroshi Kunita, Shinzo Watanabe · Nagoya Mathematical Journal | Aug 1967 | 631 |
| 21 | Weak Convergence Aad van der Vaart, Jon A. Wellner · Springer series in statistics | 1996 | 619 |
| 22 | Monotone metrics on matrix spaces Dėnes Petz · Linear Algebra and its Applications | Sep 1996 | 611 |
| 23 | Real and Complex Analysis Steven R. Finch · Cambridge University Press eBooks | 6 Dec 2018 | 607 |
| 24 | On the convergence of the proximal algorithm for nonsmooth functions involving analytic features Hédy Attouch, Jérôme Bolte · Mathematical Programming | 3 May 2007 | 604 |
| 25 | On Some Simple Estimates of an Exponent of Regular Variation Peter A. Hall · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Sep 1982 | 579 |
| 26 | On approximation of approximately linear mappings by linear mappings John Michael Rassias · Journal of Functional Analysis | Mar 1982 | 575 |
| 27 | Existence and convergence of best proximity points A. Anthony Eldred, P. Veeramani · Journal of Mathematical Analysis and Applications | 8 Dec 2005 | 573 |
| 28 | A splitting algorithm for dual monotone inclusions involving cocoercive operators Bằng Công Vũ · Advances in Computational Mathematics | 28 Nov 2011 | 565 |
| 29 | Lipschitz functions on spaces of homogeneous type Roberto A Macías, Carlos Segovia · Advances in Mathematics | Sep 1979 | 559 |
| 30 | C∗-algebras of real rank zero Lawrence G. Brown, Gert Kjaergaard Pedersen · Journal of Functional Analysis | Jul 1991 | 543 |
| 31 | On the subspaces ofL p (p>2) spanned by sequences of independent random variables Haskell P. Rosenthal · Israel Journal of Mathematics | Sep 1970 | 543 |
| 32 | Integral operators in spaces of summable functions M. A. Krasnosel’skii, P. P. Zabreyko, Evgeniy Pustylnik et al. · Journal of Engineering Mathematics | Apr 1976 | 538 |
| 33 | Further results on a class of distributions which includes the normal ones Adelchi Azzalini · OpenGrey (Institut de l'Information Scientifique et Technique) | 2013 | 530 |
| 34 | CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS A. Benedek, A. P. Calderón, Rafael Panzone · Proceedings of the National Academy of Sciences | Mar 1962 | 528 |
| 35 | Fonctions convexes duales et points proximaux dans un espace hilbertien Jean Jacques Moreau · HAL (Le Centre pour la Communication Scientifique Directe) | 1962 | 516 |
| 36 | Secular Variations In The Pelagic Realm Alfred G. Fischer, Michael A. Arthur · SEPM (Society for Sedimentary Geology) eBooks | 1977 | 508 |
| 37 | Martingales with values in uniformly convex spaces Gilles Pisier · Israel Journal of Mathematics | Sep 1975 | 505 |
| 38 | Spaces with an abstract convolution of measures Robert I. Jewett · Advances in Mathematics | Oct 1975 | 505 |
| 39 | Non-Commutative L-Spaces Gilles Pisier, Quanhua Xu · Handbook of the geometry of Banach spaces | 2003 | 495 |
| 40 | On orlicz sequence spaces Joram Lindenstrauss, Lior Tzafriri · Israel Journal of Mathematics | Sep 1971 | 493 |
| 41 | The Functional Calculus for Sectorial Operators Markus Haase · Birkhäuser Basel eBooks | 2006 | 489 |
| 42 | Graphs, Groupoids, and Cuntz–Krieger Algebras Alex Kumjian, David Pask, Iain Raeburn et al. · Journal of Functional Analysis | Mar 1997 | 479 |
| 43 | A Characterization of Banach Spaces Containing l 1 Haskell P. Rosenthal · Proceedings of the National Academy of Sciences | Jun 1974 | 478 |
| 44 | On operator ranges Peter Fillmore, J. P. Williams · Advances in Mathematics | Dec 1971 | 477 |
| 45 | Cuntz–Krieger algebras of directed graphs Alex Kumjian, David Pask, Iain Raeburn · Pacific Journal of Mathematics | May 1998 | 461 |
| 46 | Regularity and stability for the mathematical programming problem in Banach spaces Jochem Zowe, Stanisław Kurcyusz · Applied Mathematics & Optimization | Mar 1979 | 450 |
| 47 | A joint spectrum for several commuting operators Joseph L. Taylor · Journal of Functional Analysis | Oct 1970 | 447 |
| 48 | Factoring weakly compact operators William J. Davis, T. Figiel, William B. Johnson et al. · Journal of Functional Analysis | Nov 1974 | 436 |
| 49 | A counterexample to the approximation problem in Banach spaces Per Enflo · Acta Mathematica | 1973 | 434 |
| 50 | Some remarks on Banach spaces in which martingale difference sequences are unconditional Jean Bourgain · Arkiv för matematik | Dec 1983 | 432 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.