Edit Profile Garling, D. J. H. Compute Distance To: Compute Author ID: garling.d-j-h Published as: Garling, D. J. H. External Links: MGP Documents Indexed: 56 Publications since 1964, including 8 Books all top 5 Co-Authors 46 single-authored 3 Tomczak-Jaegermann, Nicole 2 Montgomery-Smith, Stephen J. 1 Davis, William Jay 1 Finet, Catherine 1 Fremlin, David H. 1 Gordon, Yehoram 1 Haydon, Richard G. 1 Wilansky, Albert 1 Wojtaszczyk, Przemyslaw all top 5 Serials 8 Proceedings of the Cambridge Philosophical Society 6 Mathematical Proceedings of the Cambridge Philosophical Society 5 Proceedings of the London Mathematical Society. Third Series 4 Studia Mathematica 3 Israel Journal of Mathematics 3 Bulletin of the London Mathematical Society 2 The Annals of Probability 2 Journal of the London Mathematical Society. Second Series 2 London Mathematical Society Student Texts 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete all top 5 Fields 28 Functional analysis (46-XX) 14 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 532 times in 475 Documents Cited by ▼ Year ▼ Inequalities. A journey into linear analysis. Zbl 1135.26014Garling, D. J. H. 85 2007 Bounded measures on topological spaces. Zbl 0236.46025Fremlin, D. H.; Garling, D. J. H.; Haydon, R. G. 52 1972 Relations between some constants associated with finite dimensional Banach spaces. Zbl 0212.14203Garling, D. J. H.; Gordon, Y. 49 1971 The complex convexity of quasi-normed linear spaces. Zbl 0552.46012Davis, William J.; Garling, D. J. H.; Tomczak-Jaegermann, Nicole 48 1984 On symmetric sequence spaces. Zbl 0136.10701Garling, D. J. H. 32 1966 A generalized form of inductive-limit topology for vector spaces. Zbl 0163.36201Garling, D. J. H. 26 1964 On topological sequence spaces. Zbl 0161.10305Garling, D. J. H. 25 1967 The \(\beta\)-und \(\gamma\)-duality of sequence spaces. Zbl 0161.10401Garling, D. J. H. 22 1967 Symmetric bases of locally convex spaces. Zbl 0159.17703Garling, D. J. H. 17 1968 On ideals of operators in Hilbert space. Zbl 0149.34202Garling, D. J. H. 15 1967 Diagonal mappings between sequence spaces. Zbl 0292.47017Garling, D. J. H. 14 1974 The cotype and uniform convexity of unitary ideals. Zbl 0544.46012Garling, D. J. H.; Tomczak-Jaegermann, Nicole 13 1983 Clifford algebras. An introduction. Zbl 1235.15025Garling, D. J. H. 13 2011 A class of reflexive symmetric BK-spaces. Zbl 0175.41901Garling, D. J. H. 12 1969 On martingales with values in a complex Banach space. Zbl 0685.46028Garling, D. J. H. 12 1988 A course in Galois theory. Zbl 0608.12025Garling, D. J. H. 10 1986 Stable Banach spaces, random measures and Orlicz function spaces. Zbl 0485.46012Garling, D. J. H. 10 1982 On a summability theorem of Berg, Crawford and Whitley. Zbl 0233.46026Garling, D. J. H.; Wilansky, A. 8 1972 Subsequence principles for vector-valued random variables. Zbl 0416.60009Garling, D. J. H. 7 1979 Some Bargmann spaces of analytic functions. Zbl 0848.46012Garling, D. J. H.; Wojtaszczyk, P. 6 1995 Functional central limit theorems in Banach spaces. Zbl 0343.60014Garling, D. J. H. 6 1976 Absolutely p-summing operators in Hilbert space. Zbl 0203.45502Garling, D. J. H. 6 1970 Brownian motion and UMD-spaces. Zbl 0609.46009Garling, D. J. H. 5 1986 Complemented subspaces of spaces obtained by interpolation. Zbl 0770.46030Garling, D. J. H.; Montgomery-Smith, S. J. 4 1991 Random martingale transform inequalities. Zbl 0701.60003Garling, D. J. H. 4 1990 Lattice bounding, Radonifying and summing mappings. Zbl 0297.47020Garling, D. J. H. 3 1975 Locally convex spaces with denumerable systems of weakly compact subsets. Zbl 0134.31601Garling, D. J. H. 3 1964 Hardy martingales and the unconditional convergence of martingales. Zbl 0746.60046Garling, D. J. H. 3 1991 A course in mathematical analysis. Volume 1: Foundations and elementary real analysis. Zbl 1279.26003Garling, D. J. H. 3 2013 RUC-systems and Besselian systems in Banach spaces. Zbl 0693.46004Garling, D. J. H.; Tomczak-Jaegermann, N. 3 1989 Analysis on Polish spaces and an introduction to optimal transportation. Zbl 1407.46001Garling, D. J. H. 3 2018 Convexity, smoothness and martingale inequalities. Zbl 0374.46010Garling, D. J. H. 2 1978 The range of stochastic integration. Zbl 0387.60065Garling, D. J. H. 2 1978 Tensor products of topological Abelian groups. Zbl 0145.03401Garling, D. J. H. 2 1966 Non-negative random measures and order-preserving embeddings. Zbl 0319.46023Garling, D. J. H. 1 1975 Some remarks on injective envelopes. Zbl 0213.14202Garling, D. J. H. 1 1971 The filter condition, the closed neighbourhood condition, and consistent seminorms. Zbl 0213.39102Garling, D. J. H. 1 1971 A ’short’ proof of the Riesz representation theorem. Zbl 0253.46022Garling, D. J. H. 1 1973 Radonifying mappings and functional central limit theorems. Zbl 0263.60009Garling, D. J. H. 1 1973 A course in mathematical analysis. Volume 2: Metric and topological spaces, functions of a vector variable. Zbl 1288.26001Garling, D. J. H. 1 2013 Complemented subspaces of spaces obtained by interpolation. Zbl 0699.46056Garling, D. J. H.; Montgomery-Smith, S. J. 1 1991 Analysis on Polish spaces and an introduction to optimal transportation. Zbl 1407.46001Garling, D. J. H. 3 2018 A course in mathematical analysis. Volume 1: Foundations and elementary real analysis. Zbl 1279.26003Garling, D. J. H. 3 2013 A course in mathematical analysis. Volume 2: Metric and topological spaces, functions of a vector variable. Zbl 1288.26001Garling, D. J. H. 1 2013 Clifford algebras. An introduction. Zbl 1235.15025Garling, D. J. H. 13 2011 Inequalities. A journey into linear analysis. Zbl 1135.26014Garling, D. J. H. 85 2007 Some Bargmann spaces of analytic functions. Zbl 0848.46012Garling, D. J. H.; Wojtaszczyk, P. 6 1995 Complemented subspaces of spaces obtained by interpolation. Zbl 0770.46030Garling, D. J. H.; Montgomery-Smith, S. J. 4 1991 Hardy martingales and the unconditional convergence of martingales. Zbl 0746.60046Garling, D. J. H. 3 1991 Complemented subspaces of spaces obtained by interpolation. Zbl 0699.46056Garling, D. J. H.; Montgomery-Smith, S. J. 1 1991 Random martingale transform inequalities. Zbl 0701.60003Garling, D. J. H. 4 1990 RUC-systems and Besselian systems in Banach spaces. Zbl 0693.46004Garling, D. J. H.; Tomczak-Jaegermann, N. 3 1989 On martingales with values in a complex Banach space. Zbl 0685.46028Garling, D. J. H. 12 1988 A course in Galois theory. Zbl 0608.12025Garling, D. J. H. 10 1986 Brownian motion and UMD-spaces. Zbl 0609.46009Garling, D. J. H. 5 1986 The complex convexity of quasi-normed linear spaces. Zbl 0552.46012Davis, William J.; Garling, D. J. H.; Tomczak-Jaegermann, Nicole 48 1984 The cotype and uniform convexity of unitary ideals. Zbl 0544.46012Garling, D. J. H.; Tomczak-Jaegermann, Nicole 13 1983 Stable Banach spaces, random measures and Orlicz function spaces. Zbl 0485.46012Garling, D. J. H. 10 1982 Subsequence principles for vector-valued random variables. Zbl 0416.60009Garling, D. J. H. 7 1979 Convexity, smoothness and martingale inequalities. Zbl 0374.46010Garling, D. J. H. 2 1978 The range of stochastic integration. Zbl 0387.60065Garling, D. J. H. 2 1978 Functional central limit theorems in Banach spaces. Zbl 0343.60014Garling, D. J. H. 6 1976 Lattice bounding, Radonifying and summing mappings. Zbl 0297.47020Garling, D. J. H. 3 1975 Non-negative random measures and order-preserving embeddings. Zbl 0319.46023Garling, D. J. H. 1 1975 Diagonal mappings between sequence spaces. Zbl 0292.47017Garling, D. J. H. 14 1974 A ’short’ proof of the Riesz representation theorem. Zbl 0253.46022Garling, D. J. H. 1 1973 Radonifying mappings and functional central limit theorems. Zbl 0263.60009Garling, D. J. H. 1 1973 Bounded measures on topological spaces. Zbl 0236.46025Fremlin, D. H.; Garling, D. J. H.; Haydon, R. G. 52 1972 On a summability theorem of Berg, Crawford and Whitley. Zbl 0233.46026Garling, D. J. H.; Wilansky, A. 8 1972 Relations between some constants associated with finite dimensional Banach spaces. Zbl 0212.14203Garling, D. J. H.; Gordon, Y. 49 1971 Some remarks on injective envelopes. Zbl 0213.14202Garling, D. J. H. 1 1971 The filter condition, the closed neighbourhood condition, and consistent seminorms. Zbl 0213.39102Garling, D. J. H. 1 1971 Absolutely p-summing operators in Hilbert space. Zbl 0203.45502Garling, D. J. H. 6 1970 A class of reflexive symmetric BK-spaces. Zbl 0175.41901Garling, D. J. H. 12 1969 Symmetric bases of locally convex spaces. Zbl 0159.17703Garling, D. J. H. 17 1968 On topological sequence spaces. Zbl 0161.10305Garling, D. J. H. 25 1967 The \(\beta\)-und \(\gamma\)-duality of sequence spaces. Zbl 0161.10401Garling, D. J. H. 22 1967 On ideals of operators in Hilbert space. Zbl 0149.34202Garling, D. J. H. 15 1967 On symmetric sequence spaces. Zbl 0136.10701Garling, D. J. H. 32 1966 Tensor products of topological Abelian groups. Zbl 0145.03401Garling, D. J. H. 2 1966 A generalized form of inductive-limit topology for vector spaces. Zbl 0163.36201Garling, D. J. H. 26 1964 Locally convex spaces with denumerable systems of weakly compact subsets. Zbl 0134.31601Garling, D. J. H. 3 1964 all cited Publications top 5 cited Publications all top 5 Cited by 588 Authors 13 Gordon, Yehoram 9 Lewis, D. R. 9 Pellegrino, Daniel Marinho 9 Tomczak-Jaegermann, Nicole 8 Gupta, Manjul 8 König, Hermann 6 Iyahen, S. O. 6 Kamthan, Pawan Kumar 6 Popa, Dumitru 6 Retherford, James R. 5 Dilworth, Stephen J. 5 Garling, D. J. H. 5 Mastyło, Mieczysław 5 Opfer, Gerhard 5 Santos, Joedson 5 Veraar, Mark C. 4 Albiac, Fernando 4 Ansorena, José Luis 4 Badea, Gabriela 4 Blasco, Oscar 4 Buntinas, Martin 4 Davis, William Jay 4 Katsaras, Athanasios K. 4 Kree, Paul 4 Lee, Han Ju 4 Mohapl, Jaroslav 4 Núñez-Alarcón, Daniel 4 Odell, Edward 4 Pietsch, Albrecht 4 Ruess, Wolfgang M. 4 Serrano-Rodríguez, Diana Marcela 4 Sukochev, Fedor Anatol’evich 4 Wojtaszczyk, Przemyslaw 3 Albuquerque, Nacib Gurgel 3 Balder, Erik J. 3 Chen, Lili 3 Dodds, Peter G. 3 Dodds, Theresa K. 3 Dowling, Patrick N. 3 Figiel, Tadeusz 3 Goes, Günther 3 Hazarika, Bipan 3 Janovská, Drahoslava 3 Kalton, Nigel John 3 Kamińska, Anna 3 Kifer, Yuri 3 Kikuchi, Masato 3 Lindenstrauss, Joram 3 Müller, Paul F. X. 3 Pisier, Gilles 3 Reisner, Shlomo 3 Ruckle, William Henry 3 Schlumprecht, Thomas 3 Schütt, Carsten 3 Seoane-Sepúlveda, Juan Benigno 3 Troitsky, Vladimir G. 3 Ueki, Sei-ichiro 3 Xu, Quanhua 2 Astashkin, Sergeĭ Vladimir 2 Barnes, Benedict 2 Bayart, Frédéric 2 Bennett, Grahame 2 Bogachev, Vladimir Igorevich 2 Boos, Johann 2 Boruah, Khirod 2 Botelho, Geraldo 2 Bourgain, Jean 2 Bukhvalov, Alexander V. 2 Carando, Daniel G. 2 Casazza, Peter George 2 Chalmers, Bruce Longworthy 2 Chen, Deyun 2 Chilin, Vladimir Ivanovich 2 Conradie, Jurie 2 Cooper, James Bell 2 Cortiñas, Guillermo H. 2 Czerwińska, Małgorzata Marta 2 Daher, Mohammad 2 De Bona, Glauber 2 de Pagter, Bernardus 2 Eckstein, Michał 2 Finger, Marcelo 2 Freeman, Daniel H. jun. 2 Gil’, Michael Iosif 2 Gönüllü, Uğur 2 González Ortiz, Manuel 2 Grosse-Erdmann, Karl-Goswin 2 Haase, Markus 2 Haydon, Richard G. 2 Hernández Rodriguez, Francisco L. 2 Huang, Qingzhong 2 Hudzik, Henryk 2 Jameson, Graham J. O. 2 Jiang, Yang 2 Johnson, William Buhmann 2 Khan, Vakeel A. 2 Khurana, Surjit Singh 2 Leiger, Toivo 2 Lennard, Christopher J. 2 Li, Aijun ...and 488 more Authors all top 5 Cited in 157 Serials 38 Israel Journal of Mathematics 38 Journal of Mathematical Analysis and Applications 25 Transactions of the American Mathematical Society 22 Proceedings of the American Mathematical Society 19 Journal of Functional Analysis 17 Mathematical Proceedings of the Cambridge Philosophical Society 17 Mathematische Annalen 12 Mathematische Zeitschrift 11 Advances in Mathematics 8 Journal of Approximation Theory 8 Positivity 6 Archiv der Mathematik 6 Integral Equations and Operator Theory 6 Indagationes Mathematicae. New Series 6 Advances in Applied Clifford Algebras 5 Bulletin of the Australian Mathematical Society 5 Mathematical Notes 5 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal d’Analyse Mathématique 4 Journal of Differential Equations 4 Journal of Soviet Mathematics 4 Quaestiones Mathematicae 3 Linear and Multilinear Algebra 3 The Annals of Probability 3 Collectanea Mathematica 3 Czechoslovak Mathematical Journal 3 Journal of Pure and Applied Algebra 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Mathematica Slovaca 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Results in Mathematics 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Statistics & Probability Letters 3 Journal of Theoretical Probability 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Bulletin of the American Mathematical Society 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Complex Analysis and Operator Theory 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Journal of Multivariate Analysis 2 Journal of Number Theory 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Tohoku Mathematical Journal. Second Series 2 Topology and its Applications 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 The Journal of Geometric Analysis 2 Linear Algebra and its Applications 2 Applied and Computational Harmonic Analysis 2 Bulletin des Sciences Mathématiques 2 Journal of Inequalities and Applications 2 Revista Matemática Complutense 2 Journal of Machine Learning Research (JMLR) 2 Mediterranean Journal of Mathematics 2 Proyecciones 2 European Journal of Pure and Applied Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Dissertationes Mathematicae 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Geometry 1 Le Matematiche 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Computing 1 SIAM Journal on Control and Optimization 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Insurance Mathematics & Economics ...and 57 more Serials all top 5 Cited in 54 Fields 313 Functional analysis (46-XX) 125 Operator theory (47-XX) 66 Probability theory and stochastic processes (60-XX) 37 Measure and integration (28-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 22 Sequences, series, summability (40-XX) 18 Functions of a complex variable (30-XX) 17 General topology (54-XX) 16 Convex and discrete geometry (52-XX) 14 Real functions (26-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Approximations and expansions (41-XX) 10 Numerical analysis (65-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Partial differential equations (35-XX) 7 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Combinatorics (05-XX) 6 Number theory (11-XX) 6 Topological groups, Lie groups (22-XX) 6 Differential geometry (53-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 Field theory and polynomials (12-XX) 5 Abstract harmonic analysis (43-XX) 4 Mathematical logic and foundations (03-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Category theory; homological algebra (18-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year