Edit Profile (opens in new tab) Dilworth, Stephen J. Co-Author Distance Author ID: dilworth.stephen-j Published as: Dilworth, S. J.; Dilworth, Stephen J.; Dilworth, Stephen; Dilworth, S.; Dilworth, Steven J.; Dilworth, S. J more...less Homepage: https://people.math.sc.edu/dilworth/ External Links: MGP Documents Indexed: 119 Publications since 1984, including 4 Additional arXiv Preprints Co-Authors: 69 Co-Authors with 101 Joint Publications 1,481 Co-Co-Authors all top 5 Co-Authors 18 single-authored 46 Kutzarova, Denka N. 10 Schlumprecht, Thomas 9 Carothers, Neal L. 8 Odell, Edward 8 Randrianarivony, Nirina. Lovasoa 7 Girardi, Maria 6 Causey, Ryan Michael 6 Temlyakov, Vladimir Nikolaevich 6 Zsák, András 5 Albiac, Fernando 5 Ansorena, José Luis 4 Howard, Ralph E. 4 Kalton, Nigel John 4 Lennard, Christopher J. 4 Mane, S. R. 4 Roberts, James W. 3 Casazza, Peter George 3 Gogyan, Smbat L. 3 Ostrovskii, Mikhail Iosifovich 3 Sarı, Bünyamin 3 Trautman, David A. 3 Wojtaszczyk, Przemyslaw 2 Androulakis, George 2 Bourgain, Jean 2 Ford, Kevin B. 2 Hsu, Yu-Ping 2 Konyagin, Sergeĭ Vladimirovich 2 Lancien, Gilles 2 Motakis, Pavlos 2 Oikhberg, Timur 2 Randrianantoanina, Beata 2 Revalski, Julian Petrov 2 Shuman, Karen L. 2 Sobecki, David 2 Stankov, Svetozar 2 Wallis, Ben 2 Zhivkov, Nikolay V. 1 Abraham, Paul 1 Alexopoulos, John 1 Baudier, Florent P. 1 Beanland, Kevin 1 Berná, Pablo Manuel 1 Catrina, Florin 1 Dowling, Patrick N. 1 Ferenczi, Valentin 1 Garrigós, Gustavo 1 Gartland, Chris 1 Hagler, James N. 1 Hernandez, Eugenio 1 Hoffmann, Mark R. 1 Johnson, William Buhmann 1 Kadets’, Volodymyr Mykhaĭlovych 1 Khurana, Divya 1 Koldobsky, Alexander L. 1 Mitra, David 1 Montgomery-Smith, Stephen J. 1 Patterson, Joseph P. 1 Plichko, Anatoliĭ Mykolaĭovych 1 Popov, Mykhaĭlo Mykhaĭlovych 1 Ransford, Thomas J. 1 Romney, Matthew 1 Sanacory, Frank 1 Shul’man, Viktor Semënovich 1 Soto-Bajo, Moisés 1 Szarek, Stanislaw Jerzy 1 Troitsky, Vladimir G. 1 Troyanski, Stanimir L. 1 Wright, Duncan 1 Zhang, Sheng all top 5 Serials 9 Studia Mathematica 8 Journal of Functional Analysis 8 Proceedings of the American Mathematical Society 5 Israel Journal of Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Approximation Theory 4 Transactions of the American Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Bulletin of the London Mathematical Society 3 Constructive Approximation 3 Far East Journal of Mathematical Sciences 2 Bulletin of the Australian Mathematical Society 2 Houston Journal of Mathematics 2 Advances in Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Geometry 2 Journal of the London Mathematical Society. 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Serie A: Matemáticas. RACSAM 1 Carpathian Mathematical Publications all top 5 Fields 101 Functional analysis (46-XX) 26 Approximations and expansions (41-XX) 11 Convex and discrete geometry (52-XX) 11 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 4 Real functions (26-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 815 times in 539 Documents Cited by ▼ Year ▼ The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011 Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. 75 2003 On the existence of almost greedy bases in Banach spaces. Zbl 1056.46014 Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka 55 2003 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 53 2011 Coefficient quantization for frames in Banach spaces. Zbl 1159.46008 Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 34 2008 Approximate isometries on finite-dimensional normed spaces. Zbl 0933.46009 Dilworth, S. J. 31 1999 Special Banach lattices and their applications. Zbl 1042.46013 Dilworth, S. J. 28 2001 Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032 Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N. 23 2012 Subspaces of \(L_{p,q}\). Zbl 0692.46020 Carothers, N. L.; Dilworth, S. J. 20 1988 Dual Banach spaces which contain an isometric copy of \(L_1\). Zbl 0956.46006 Dilworth, Stephen J.; Girardi, Maria; Hagler, James 19 2000 Renorming spaces with greedy bases. Zbl 1305.41033 Dilworth, S. J.; Kutzarova, D.; Odell, E.; Schlumprecht, Th.; Zsák, A. 17 2014 Equivalent norms with the property \((\beta)\) of Rolewicz. Zbl 1432.46002 Dilworth, S. J.; Kutzarova, Denka; Lancien, Gilles; Randrianarivony, N. L. 17 2017 Inequalities for sums of independent random variables. Zbl 0685.46015 Carothers, N. L.; Dilworth, S. J. 16 1988 Nowhere weak differentiability of the Pettis integral. Zbl 0856.28006 Dilworth, S. J.; Girardi, Maria 16 1995 Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021 Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N. 16 2002 Equidistributed random variables in \(L_{p,q}\). Zbl 0691.46015 Carothers, N. L.; Dilworth, S. J. 15 1989 On approximate \(\ell_1\) systems in Banach spaces. Zbl 1018.46006 Dilworth, S. J.; Kutzarova, Denka; Wojtaszczyk, P. 15 2002 The distribution of vector-valued Rademacher series. Zbl 0798.46006 Dilworth, S. J.; Montgomery-Smith, S. J. 15 1993 Complex convexity and the geometry of Banach spaces. Zbl 0611.46026 Dilworth, S. J. 14 1986 Lebesgue constants for the weak greedy algorithm. Zbl 1336.46015 Dilworth, S. J.; Kutzarova, D.; Oikhberg, T. 14 2015 Geometry of Lorentz spaces via interpolation. Zbl 0754.46023 Carothers, N. L.; Dilworth, S. J. 10 1986 Asymptotic geometry of Banach spaces and uniform quotient maps. Zbl 1308.46031 Dilworth, S. J.; Kutzarova, Denka; Lancien, G.; Randrianarivony, N. L. 10 2014 Compactly uniformly convex spaces and property \((\beta)\) of Rolewicz. Zbl 1276.46006 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa; Revalski, J. P.; Zhivkov, N. V. 10 2013 Building highly conditional almost greedy and quasi-greedy bases in Banach spaces. Zbl 1420.46011 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 10 2019 New convexity and fixed point properties in Hardy and Lebesgue-Bochner spaces. Zbl 0804.46044 Besbes, M.; Dilworth, S. J.; Dowling, P. N.; Lennard, C. J. 9 1994 Banach spaces with a unique greedy basis. Zbl 1356.46011 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 9 2016 On strongly asymptotic \(\ell_{p}\) spaces and minimality. Zbl 1139.46013 Dilworth, S. J.; Ferenczi, V.; Kutzarova, Denka; Odell, E. 8 2007 Extremal approximately convex functions and estimating the size of convex hulls. Zbl 0949.26003 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 8 1999 Renormings and symmetry properties of 1-greedy bases. Zbl 1252.41026 Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 8 2011 \(\xi\)-asymptotically uniformly smooth, \(\xi\)-asymptotically uniformly convex, and (\(\beta\)) operators. Zbl 1403.46019 Causey, R. M.; Dilworth, S. J. 8 2018 The dimension of Euclidean subspaces of quasi-normed spaces. Zbl 0573.46005 Dilworth, S. J. 8 1985 Bochner vs. Pettis norm: Examples and results. Zbl 0802.46052 Dilworth, S. J.; Girardi, Maria 8 1993 The weighted property (A) and the greedy algorithm. Zbl 1440.46011 Berná, P. M.; Dilworth, S. J.; Kutzarova, D.; Oikhberg, T.; Wallis, B. 8 2019 Lipschitz-free spaces on finite metric spaces. Zbl 1462.46010 Dilworth, Stephen J.; Kutzarova, Denka; Ostrovskii, Mikhail I. 8 2020 On the geometry of the unit spheres of the Lorentz spaces \(L_{w,1}\). Zbl 0755.46009 Carothers, N. L.; Dilworth, S. J.; Trautman, D. A. 7 1992 Coefficient quantization in Banach spaces. Zbl 1178.46009 Dilworth, S. J.; Odell, E.; Schlumprecht, T.; Zsák, A. 7 2008 The transfer of property \((\beta )\) of Rolewicz by a uniform quotient map. Zbl 1343.46018 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa 7 2016 Kadec-Klee properties for \(L(\ell_ p, \ell_ q)\). Zbl 0851.46012 Dilworth, S. J.; Kutzarova, Denka 6 1995 Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam. Zbl 1042.26007 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 6 2002 Non-equivalent greedy and almost greedy bases in \(\ell_p\). Zbl 1167.46308 Dilworth, Stephen J.; Hoffmann, Mark; Kutzarova, Denka N. 6 2006 Some probabilistic inequalities with applications to functional analysis. Zbl 0793.60014 Dilworth, S. J. 6 1993 Metric characterizations of super weakly compact operators. Zbl 1393.46016 Causey, R. M.; Dilworth, S. J. 6 2017 On the geometry of the countably branching diamond graphs. Zbl 1380.46014 Baudier, Florent; Causey, Ryan; Dilworth, Stephen; Kutzarova, Denka; Randrianarivony, Nirina L.; Schlumprecht, Thomas; Zhang, Sheng 6 2017 On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces. Zbl 1319.46006 Dilworth, S. J.; Randrianantoanina, B. 6 2015 Lattice structures and spreading models. Zbl 1148.46011 Dilworth, S. J.; Odell, E.; Sari, B. 5 2007 Greedy bases for Besov spaces. Zbl 1234.46010 Dilworth, S. J.; Freeman, D.; Odell, E.; Schlumprecht, T. 5 2011 Partial unconditionality. Zbl 1194.46019 Dilworth, S. J; Odell, E.; Schlumprecht, Th; Zsák, A. 5 2009 On the size of approximately convex sets in normed spaces. Zbl 1039.26009 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 5 2000 A conditional quasi-greedy basis of \(\ell_1\). Zbl 0974.46013 Dilworth, S. J.; Mitra, David 5 2001 Weak convergence of greedy algorithms in Banach spaces. Zbl 1180.41030 Dilworth, S. J.; Kutzarova, Denka; Shuman, Karen L.; Temlyakov, V. N.; Wojtaszczyk, P. 5 2008 Some Banach space embeddings of classical function spaces. Zbl 0714.46026 Carothers, N. L.; Dilworth, S. J. 5 1991 A fixed point property for the Lorentz space \(L_{p,1}(\mu{})\). Zbl 0736.47029 Carothers, N. L.; Dilworth, S. J.; Lennard, C. J.; Trautman, D. A. 5 1991 Spectrum of a weakly hypercyclic operator meets the unit circle. Zbl 1052.47003 Dilworth, S. J.; Troitsky, Vladimir G. 5 2003 Characterizations of almost greedy and partially greedy bases. Zbl 1457.46016 Dilworth, Stephen J.; Khurana, Divya 5 2019 Breaking the \(k^2\) barrier for explicit RIP matrices. Zbl 1288.68062 Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka 5 2011 Weak thresholding greedy algorithms in Banach spaces. Zbl 1267.46026 Dilworth, S. J.; Kutzarova, Denka; Schlumprecht, Th.; Wojtaszczyk, P. 5 2012 On a localization of the UKK property and the fixed point property in \(L_{w,1}\). Zbl 0834.46011 Carothers, N. L.; Dilworth, S. J.; Lennard, C. J. 4 1996 A scale of linear spaces related to the \(L_ p\) scale. Zbl 0693.46024 Dilworth, S. J. 4 1990 Intersections of centred sets in normed spaces. Zbl 1114.46304 Dilworth, S. J. 4 1998 On some uniform geometric properties in function spaces. Zbl 1036.46012 Dilworth, S. J.; Kutzarova, Denka; Troyanski, S. L. 4 2001 The cotype constant and an almost Euclidean decomposition for finite- dimensional normed spaces. Zbl 0657.46010 Dilworth, Stephen; Szarek, Stanisław 3 1985 Intersection of Lebesgue spaces \(L_ 1\) and \(L_ 2\). Zbl 0661.46015 Dilworth, S. J. 3 1988 Embedding \(\ell_{\infty}\) into the space of bounded operators on certain Banach spaces. Zbl 1121.46016 Androulakis, G.; Beanland, K.; Dilworth, S. J.; Sanacory, F. 3 2006 A general theory of almost convex functions. Zbl 1097.26009 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 3 2006 Lenses and asymptotic midpoint uniform convexity. Zbl 1346.46011 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa; Revalski, J. P.; Zhivkov, N. V. 3 2016 Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases. Zbl 1459.46025 Albiac, Fernando; Ansorena, José Luis; Dilworth, Stephen J.; Kutzarova, Denka 3 2020 A dichotomy for subsymmetric basic sequences with applications to Garling spaces. Zbl 1470.46019 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 3 2021 Weight-almost greedy bases. Zbl 1419.46013 Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben 3 2018 Convergence of series of scalar- and vector-valued random variables and a subsequence principle in \(L_ 2\). Zbl 0632.60005 Dilworth, S. J. 2 1987 On the convergence of greedy algorithms for initial segments of the Haar basis. Zbl 1190.41010 Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, András 2 2010 Geometry of Banach spaces and biorthogonal systems. Zbl 0963.46009 Dilworth, S. J.; Girardi, Maria; Johnson, W. B. 2 2000 On the convergence in mean of martingale difference sequences. Zbl 0986.46017 Abraham, Paul; Alexopoulos, John; Dilworth, S. J. 2 2000 On the optimality of a theorem of Elton on \(\ell_1^n\) subsystems. Zbl 1033.46010 Dilworth, S. J.; Kutzarova, Denka 2 2001 Banach spaces which admit a norm with the uniform Kadec-Klee property. Zbl 0824.46024 Dilworth, S. J.; Girardi, Maria; Kutzarova, Denka 2 1995 On the dimension of almost Hilbertian subspaces of quotient spaces. Zbl 0601.46022 Dilworth, S. J. 2 1984 Universal non-compact operators between super-reflexive Banach spaces and the existence of a complemented copy of Hilbert space. Zbl 0616.46019 Dilworth, S. J. 2 1985 Interpolation of intersections of \(L_ p\) spaces. Zbl 0618.46060 Dilworth, S. J. 2 1988 Analysis on Laakso graphs with application to the structure of transportation cost spaces. Zbl 1485.46011 Dilworth, S. J.; Kutzarova, Denka; Ostrovskii, Mikhail I. 2 2021 Higher projective tensor products of \(c_0\). Zbl 1508.46005 Causey, Ryan M.; Dilworth, Stephen J. 2 2022 Applications of Fuss-Catalan numbers to success runs of Bernoulli trials. Zbl 1426.60008 Dilworth, S. J.; Mane, S. R. 2 2016 A new approach to the Ramsey-type games and the Gowers dichotomy in \(F\)-spaces. Zbl 1274.46003 Androulakis, George; Dilworth, Stephen J.; Kalton, Nigel J. 2 2010 Orlicz sequence spaces with denumerable sets of symmetric sequences. Zbl 1140.46308 Dilworth, Stephen J.; Sarı, Bünyamin 1 2007 On a property of Kadec-Klee type for quasi-normed unitary matrix spaces. Zbl 0930.46019 Dilworth, S. J.; Hsu, Yu-Ping 1 1996 The Fourier transform of order statistics with applications to Lorentz spaces. Zbl 0880.46022 Dilworth, S. J.; Koldobsky, A. L. 1 1995 On a problem of Croft on optimally nested regular polygons. Zbl 1231.68264 Dilworth, S. J.; Mane, S. R. 1 2010 On various modes of scalar convergence in \(L_0({\mathfrak X})\). Zbl 1073.46029 Dilworth, S. J.; Girardi, Maria 1 2001 Isometric results on a measure of non-compactness for operators on Banach spaces. Zbl 0601.46023 Dilworth, S. J. 1 1987 On two function spaces which are similar to \(L_ 0\). Zbl 0713.46019 Dilworth, S. J.; Trautman, D. A. 1 1990 Uniform Kadec-Klee Lorentz spaces \(L_{w,1}\) and uniformly concave functions. Zbl 0866.46012 Dilworth, S. J.; Lennard, C. J. 1 1996 On the convergence of a weak greedy algorithm for the multivariate Haar basis. Zbl 1308.41033 Dilworth, S. J.; Gogyan, S.; Kutzarova, Denka 1 2014 Lebesgue-type inequalities in greedy approximation. Zbl 1458.41010 Dilworth, S.; Garrigós, G.; Hernández, E.; Kutzarova, D.; Temlyakov, V. 1 2021 Success run waiting times and Fuss-Catalan numbers. Zbl 1403.60020 Dilworth, S. J.; Mane, S. R. 1 2015 Higher projective tensor products of \(c_0\). Zbl 1508.46005 Causey, Ryan M.; Dilworth, Stephen J. 2 2022 A dichotomy for subsymmetric basic sequences with applications to Garling spaces. Zbl 1470.46019 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 3 2021 Analysis on Laakso graphs with application to the structure of transportation cost spaces. Zbl 1485.46011 Dilworth, S. J.; Kutzarova, Denka; Ostrovskii, Mikhail I. 2 2021 Lebesgue-type inequalities in greedy approximation. Zbl 1458.41010 Dilworth, S.; Garrigós, G.; Hernández, E.; Kutzarova, D.; Temlyakov, V. 1 2021 Lipschitz-free spaces on finite metric spaces. Zbl 1462.46010 Dilworth, Stephen J.; Kutzarova, Denka; Ostrovskii, Mikhail I. 8 2020 Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases. Zbl 1459.46025 Albiac, Fernando; Ansorena, José Luis; Dilworth, Stephen J.; Kutzarova, Denka 3 2020 Building highly conditional almost greedy and quasi-greedy bases in Banach spaces. Zbl 1420.46011 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 10 2019 The weighted property (A) and the greedy algorithm. Zbl 1440.46011 Berná, P. M.; Dilworth, S. J.; Kutzarova, D.; Oikhberg, T.; Wallis, B. 8 2019 Characterizations of almost greedy and partially greedy bases. Zbl 1457.46016 Dilworth, Stephen J.; Khurana, Divya 5 2019 \(\xi\)-asymptotically uniformly smooth, \(\xi\)-asymptotically uniformly convex, and (\(\beta\)) operators. Zbl 1403.46019 Causey, R. M.; Dilworth, S. J. 8 2018 Weight-almost greedy bases. Zbl 1419.46013 Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben 3 2018 Equivalent norms with the property \((\beta)\) of Rolewicz. Zbl 1432.46002 Dilworth, S. J.; Kutzarova, Denka; Lancien, Gilles; Randrianarivony, N. L. 17 2017 Metric characterizations of super weakly compact operators. Zbl 1393.46016 Causey, R. M.; Dilworth, S. J. 6 2017 On the geometry of the countably branching diamond graphs. Zbl 1380.46014 Baudier, Florent; Causey, Ryan; Dilworth, Stephen; Kutzarova, Denka; Randrianarivony, Nirina L.; Schlumprecht, Thomas; Zhang, Sheng 6 2017 Banach spaces with a unique greedy basis. Zbl 1356.46011 Albiac, F.; Ansorena, J. L.; Dilworth, S. J.; Kutzarova, Denka 9 2016 The transfer of property \((\beta )\) of Rolewicz by a uniform quotient map. Zbl 1343.46018 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa 7 2016 Lenses and asymptotic midpoint uniform convexity. Zbl 1346.46011 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa; Revalski, J. P.; Zhivkov, N. V. 3 2016 Applications of Fuss-Catalan numbers to success runs of Bernoulli trials. Zbl 1426.60008 Dilworth, S. J.; Mane, S. R. 2 2016 Lebesgue constants for the weak greedy algorithm. Zbl 1336.46015 Dilworth, S. J.; Kutzarova, D.; Oikhberg, T. 14 2015 On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces. Zbl 1319.46006 Dilworth, S. J.; Randrianantoanina, B. 6 2015 Success run waiting times and Fuss-Catalan numbers. Zbl 1403.60020 Dilworth, S. J.; Mane, S. R. 1 2015 Renorming spaces with greedy bases. Zbl 1305.41033 Dilworth, S. J.; Kutzarova, D.; Odell, E.; Schlumprecht, Th.; Zsák, A. 17 2014 Asymptotic geometry of Banach spaces and uniform quotient maps. Zbl 1308.46031 Dilworth, S. J.; Kutzarova, Denka; Lancien, G.; Randrianarivony, N. L. 10 2014 On the convergence of a weak greedy algorithm for the multivariate Haar basis. Zbl 1308.41033 Dilworth, S. J.; Gogyan, S.; Kutzarova, Denka 1 2014 Compactly uniformly convex spaces and property \((\beta)\) of Rolewicz. Zbl 1276.46006 Dilworth, S. J.; Kutzarova, Denka; Randrianarivony, N. Lovasoa; Revalski, J. P.; Zhivkov, N. V. 10 2013 Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032 Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N. 23 2012 Weak thresholding greedy algorithms in Banach spaces. Zbl 1267.46026 Dilworth, S. J.; Kutzarova, Denka; Schlumprecht, Th.; Wojtaszczyk, P. 5 2012 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 53 2011 Renormings and symmetry properties of 1-greedy bases. Zbl 1252.41026 Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 8 2011 Greedy bases for Besov spaces. Zbl 1234.46010 Dilworth, S. J.; Freeman, D.; Odell, E.; Schlumprecht, T. 5 2011 Breaking the \(k^2\) barrier for explicit RIP matrices. Zbl 1288.68062 Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka 5 2011 On the convergence of greedy algorithms for initial segments of the Haar basis. Zbl 1190.41010 Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, András 2 2010 A new approach to the Ramsey-type games and the Gowers dichotomy in \(F\)-spaces. Zbl 1274.46003 Androulakis, George; Dilworth, Stephen J.; Kalton, Nigel J. 2 2010 On a problem of Croft on optimally nested regular polygons. Zbl 1231.68264 Dilworth, S. J.; Mane, S. R. 1 2010 Partial unconditionality. Zbl 1194.46019 Dilworth, S. J; Odell, E.; Schlumprecht, Th; Zsák, A. 5 2009 Coefficient quantization for frames in Banach spaces. Zbl 1159.46008 Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 34 2008 Coefficient quantization in Banach spaces. Zbl 1178.46009 Dilworth, S. J.; Odell, E.; Schlumprecht, T.; Zsák, A. 7 2008 Weak convergence of greedy algorithms in Banach spaces. Zbl 1180.41030 Dilworth, S. J.; Kutzarova, Denka; Shuman, Karen L.; Temlyakov, V. N.; Wojtaszczyk, P. 5 2008 On strongly asymptotic \(\ell_{p}\) spaces and minimality. Zbl 1139.46013 Dilworth, S. J.; Ferenczi, V.; Kutzarova, Denka; Odell, E. 8 2007 Lattice structures and spreading models. Zbl 1148.46011 Dilworth, S. J.; Odell, E.; Sari, B. 5 2007 Orlicz sequence spaces with denumerable sets of symmetric sequences. Zbl 1140.46308 Dilworth, Stephen J.; Sarı, Bünyamin 1 2007 Non-equivalent greedy and almost greedy bases in \(\ell_p\). Zbl 1167.46308 Dilworth, Stephen J.; Hoffmann, Mark; Kutzarova, Denka N. 6 2006 Embedding \(\ell_{\infty}\) into the space of bounded operators on certain Banach spaces. Zbl 1121.46016 Androulakis, G.; Beanland, K.; Dilworth, S. J.; Sanacory, F. 3 2006 A general theory of almost convex functions. Zbl 1097.26009 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 3 2006 The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011 Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. 75 2003 On the existence of almost greedy bases in Banach spaces. Zbl 1056.46014 Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka 55 2003 Spectrum of a weakly hypercyclic operator meets the unit circle. Zbl 1052.47003 Dilworth, S. J.; Troitsky, Vladimir G. 5 2003 Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021 Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N. 16 2002 On approximate \(\ell_1\) systems in Banach spaces. Zbl 1018.46006 Dilworth, S. J.; Kutzarova, Denka; Wojtaszczyk, P. 15 2002 Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam. Zbl 1042.26007 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 6 2002 Special Banach lattices and their applications. Zbl 1042.46013 Dilworth, S. J. 28 2001 A conditional quasi-greedy basis of \(\ell_1\). Zbl 0974.46013 Dilworth, S. J.; Mitra, David 5 2001 On some uniform geometric properties in function spaces. Zbl 1036.46012 Dilworth, S. J.; Kutzarova, Denka; Troyanski, S. L. 4 2001 On the optimality of a theorem of Elton on \(\ell_1^n\) subsystems. Zbl 1033.46010 Dilworth, S. J.; Kutzarova, Denka 2 2001 On various modes of scalar convergence in \(L_0({\mathfrak X})\). Zbl 1073.46029 Dilworth, S. J.; Girardi, Maria 1 2001 Dual Banach spaces which contain an isometric copy of \(L_1\). Zbl 0956.46006 Dilworth, Stephen J.; Girardi, Maria; Hagler, James 19 2000 On the size of approximately convex sets in normed spaces. Zbl 1039.26009 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 5 2000 Geometry of Banach spaces and biorthogonal systems. Zbl 0963.46009 Dilworth, S. J.; Girardi, Maria; Johnson, W. B. 2 2000 On the convergence in mean of martingale difference sequences. Zbl 0986.46017 Abraham, Paul; Alexopoulos, John; Dilworth, S. J. 2 2000 Approximate isometries on finite-dimensional normed spaces. Zbl 0933.46009 Dilworth, S. J. 31 1999 Extremal approximately convex functions and estimating the size of convex hulls. Zbl 0949.26003 Dilworth, S. J.; Howard, Ralph; Roberts, James W. 8 1999 Intersections of centred sets in normed spaces. Zbl 1114.46304 Dilworth, S. J. 4 1998 On a localization of the UKK property and the fixed point property in \(L_{w,1}\). Zbl 0834.46011 Carothers, N. L.; Dilworth, S. J.; Lennard, C. J. 4 1996 On a property of Kadec-Klee type for quasi-normed unitary matrix spaces. Zbl 0930.46019 Dilworth, S. J.; Hsu, Yu-Ping 1 1996 Uniform Kadec-Klee Lorentz spaces \(L_{w,1}\) and uniformly concave functions. Zbl 0866.46012 Dilworth, S. J.; Lennard, C. J. 1 1996 Nowhere weak differentiability of the Pettis integral. Zbl 0856.28006 Dilworth, S. J.; Girardi, Maria 16 1995 Kadec-Klee properties for \(L(\ell_ p, \ell_ q)\). Zbl 0851.46012 Dilworth, S. J.; Kutzarova, Denka 6 1995 Banach spaces which admit a norm with the uniform Kadec-Klee property. Zbl 0824.46024 Dilworth, S. J.; Girardi, Maria; Kutzarova, Denka 2 1995 The Fourier transform of order statistics with applications to Lorentz spaces. Zbl 0880.46022 Dilworth, S. J.; Koldobsky, A. L. 1 1995 New convexity and fixed point properties in Hardy and Lebesgue-Bochner spaces. Zbl 0804.46044 Besbes, M.; Dilworth, S. J.; Dowling, P. N.; Lennard, C. J. 9 1994 The distribution of vector-valued Rademacher series. Zbl 0798.46006 Dilworth, S. J.; Montgomery-Smith, S. J. 15 1993 Bochner vs. Pettis norm: Examples and results. Zbl 0802.46052 Dilworth, S. J.; Girardi, Maria 8 1993 Some probabilistic inequalities with applications to functional analysis. Zbl 0793.60014 Dilworth, S. J. 6 1993 On the geometry of the unit spheres of the Lorentz spaces \(L_{w,1}\). Zbl 0755.46009 Carothers, N. L.; Dilworth, S. J.; Trautman, D. A. 7 1992 Some Banach space embeddings of classical function spaces. Zbl 0714.46026 Carothers, N. L.; Dilworth, S. J. 5 1991 A fixed point property for the Lorentz space \(L_{p,1}(\mu{})\). Zbl 0736.47029 Carothers, N. L.; Dilworth, S. J.; Lennard, C. J.; Trautman, D. A. 5 1991 A scale of linear spaces related to the \(L_ p\) scale. Zbl 0693.46024 Dilworth, S. J. 4 1990 On two function spaces which are similar to \(L_ 0\). Zbl 0713.46019 Dilworth, S. J.; Trautman, D. A. 1 1990 Equidistributed random variables in \(L_{p,q}\). Zbl 0691.46015 Carothers, N. L.; Dilworth, S. J. 15 1989 Subspaces of \(L_{p,q}\). Zbl 0692.46020 Carothers, N. L.; Dilworth, S. J. 20 1988 Inequalities for sums of independent random variables. Zbl 0685.46015 Carothers, N. L.; Dilworth, S. J. 16 1988 Intersection of Lebesgue spaces \(L_ 1\) and \(L_ 2\). Zbl 0661.46015 Dilworth, S. J. 3 1988 Interpolation of intersections of \(L_ p\) spaces. Zbl 0618.46060 Dilworth, S. J. 2 1988 Convergence of series of scalar- and vector-valued random variables and a subsequence principle in \(L_ 2\). Zbl 0632.60005 Dilworth, S. J. 2 1987 Isometric results on a measure of non-compactness for operators on Banach spaces. Zbl 0601.46023 Dilworth, S. J. 1 1987 Complex convexity and the geometry of Banach spaces. Zbl 0611.46026 Dilworth, S. J. 14 1986 Geometry of Lorentz spaces via interpolation. Zbl 0754.46023 Carothers, N. L.; Dilworth, S. J. 10 1986 The dimension of Euclidean subspaces of quasi-normed spaces. Zbl 0573.46005 Dilworth, S. J. 8 1985 The cotype constant and an almost Euclidean decomposition for finite- dimensional normed spaces. Zbl 0657.46010 Dilworth, Stephen; Szarek, Stanisław 3 1985 Universal non-compact operators between super-reflexive Banach spaces and the existence of a complemented copy of Hilbert space. Zbl 0616.46019 Dilworth, S. J. 2 1985 On the dimension of almost Hilbertian subspaces of quotient spaces. Zbl 0601.46022 Dilworth, S. J. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 558 Authors 40 Dilworth, Stephen J. 28 Ansorena, José Luis 24 Albiac, Fernando 23 Kutzarova, Denka N. 21 Astashkin, Sergeĭ Vladimir 20 Berná, Pablo Manuel 19 Causey, Ryan Michael 18 Sukochev, Fedor Anatol’evich 14 Schlumprecht, Thomas 11 Temlyakov, Vladimir Nikolaevich 10 Hernandez, Eugenio 10 Wojtaszczyk, Przemyslaw 9 Berasategui, Miguel 9 Lancien, Gilles 9 Mixon, Dustin G. 9 Ostrovskii, Mikhail Iosifovich 8 Blasco, Oscar 8 Cheng, Lixin 8 Dowling, Patrick N. 8 Garrigós, Gustavo 8 Gogyan, Smbat L. 8 Lee, Han Ju 8 Oikhberg, Timur 7 Jiao, Yong 7 Liu, Rui 7 Sun, Longfa 7 Zsák, András 6 Baudier, Florent P. 6 Beanland, Kevin 6 Fickus, Matthew C. 6 Hernández Rodriguez, Francisco L. 6 Maligranda, Lech 6 Odell, Edward 6 Tradacete Pérez, Pedro 6 Zheng, Bentuo 5 Cabello Sánchez, Félix 5 Chu, Hùng Việt 5 Dai, Duanxu 5 Dong, Yunbai 5 Foralewski, Paweł 5 Fu, Fangwei 5 Lassalle, Silvia 5 Niu, Minyao 5 Ostrovska, Sofiya 5 Páles, Zsolt 5 Salem, Hussein A. H. 5 Wang, Gang 5 Zanin, Dmitriy V. 5 Zhang, Sheng 4 Carothers, Neal L. 4 Casazza, Peter George 4 de Natividade, Maria 4 Ferenczi, Valentin 4 Freeman, Daniel H. jun. 4 García-Lirola, Luis Carlos 4 Huang, Jinghao 4 Johnson, P. Sam 4 Kalton, Nigel John 4 Kamińska, Anna 4 Kim, Sun Kwang 4 Krishna, Krishnanagara Mahesh 4 Lennard, Christopher J. 4 Nielsen, Morten 4 Papini, Pier Luigi 4 Randrianantoanina, Narcisse 4 Randrianarivony, Nirina. Lovasoa 4 Rosendal, Christian 4 Troyanski, Stanimir L. 4 Turett, Barry 4 Ye, Peixin 4 Zhang, Wen 3 Abrahamsen, Trond Arnold 3 Bongiorno, Benedetto 3 Cheng, Qingjin 3 Di Piazza, Luisa 3 Flores, Julio Rolando 3 Galego, Elói Medina 3 Jasper, John Sahayam 3 Kaushik, Shiv Kumar 3 Martell, José María (Chema) 3 Mastyło, Mieczysław 3 Montgomery-Smith, Stephen J. 3 Motakis, Pavlos 3 Musial, Kazimierz 3 Nezir, Veysel 3 Nygaard, Olav 3 Petitjean, Colin 3 Poumai, Khole Timothy 3 Procházka, Antonín 3 Randrianantoanina, Beata 3 Rueda Zoca, Abraham 3 Samuel, Christian 3 Semenov, Evgueni M. 3 Shunmugaraj, P. 3 Tu, Kun 3 Wallis, Ben 3 Xie, Guangheng 3 Zhou, Yu 2 Argyros, Spiros A. 2 Asgari, Mohammad Sadegh ...and 458 more Authors all top 5 Cited in 173 Serials 53 Journal of Mathematical Analysis and Applications 41 Journal of Functional Analysis 32 Proceedings of the American Mathematical Society 21 Journal of Approximation Theory 20 Israel Journal of Mathematics 14 Constructive Approximation 13 Transactions of the American Mathematical Society 11 Mathematical Notes 10 Studia Mathematica 10 Positivity 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 The Journal of Fourier Analysis and Applications 7 Revista Matemática Complutense 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Mathematische Nachrichten 6 Results in Mathematics 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Linear Algebra and its Applications 6 Acta Mathematica Sinica. English Series 6 Banach Journal of Mathematical Analysis 5 Advances in Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Rocky Mountain Journal of Mathematics 4 Mathematische Annalen 4 Monatshefte für Mathematik 4 Applied and Computational Harmonic Analysis 4 Journal of Inequalities and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Proceedings of the Steklov Institute of Mathematics 4 Science China. Mathematics 4 Annals of Functional Analysis 3 Bulletin of the Australian Mathematical Society 3 Bulletin of the London Mathematical Society 3 Functiones et Approximatio. Commentarii Mathematici 3 Glasgow Mathematical Journal 3 Mathematische Zeitschrift 3 Quaestiones Mathematicae 3 Advances in Computational Mathematics 3 Journal of Pseudo-Differential Operators and Applications 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Collectanea Mathematica 2 Compositio Mathematica 2 Czechoslovak Mathematical Journal 2 Illinois Journal of Mathematics 2 Mathematika 2 Journal of Complexity 2 Aequationes Mathematicae 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 St. Petersburg Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Electronic Journal of Probability 2 Journal of Combinatorial Optimization 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Mediterranean Journal of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Discrete Mathematics, Algorithms and Applications 2 Palestine Journal of Mathematics 2 Forum of Mathematics, Sigma 1 Analysis Mathematica 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Inverse Problems 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Demonstratio Mathematica 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Economic Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Ergodic Theory and Dynamical Systems 1 Note di Matematica 1 Statistics & Probability Letters 1 Combinatorica ...and 73 more Serials all top 5 Cited in 39 Fields 383 Functional analysis (46-XX) 86 Approximations and expansions (41-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 67 Operator theory (47-XX) 44 Information and communication theory, circuits (94-XX) 40 Probability theory and stochastic processes (60-XX) 19 Combinatorics (05-XX) 18 Measure and integration (28-XX) 17 Real functions (26-XX) 17 Numerical analysis (65-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Difference and functional equations (39-XX) 14 Convex and discrete geometry (52-XX) 12 General topology (54-XX) 11 Functions of a complex variable (30-XX) 11 Computer science (68-XX) 10 Number theory (11-XX) 10 Geometry (51-XX) 10 Operations research, mathematical programming (90-XX) 8 Statistics (62-XX) 6 Mathematical logic and foundations (03-XX) 6 Ordinary differential equations (34-XX) 5 Abstract harmonic analysis (43-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Sequences, series, summability (40-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year