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Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 1987-88: Lecture Notes in Mathematics, cartea 1376

Editat de Joram Lindenstrauss, Vitali D. Milman
en Limba Engleză Paperback – 7 iun 1989
This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finite-dimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry.
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Specificații

ISBN-13: 9783540513032
ISBN-10: 3540513035
Pagini: 300
Ilustrații: VIII, 292 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.42 kg
Ediția:1989
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Hilbert's 13th problem and dimension.- On the duality problem for entropy numbers of operators.- Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space.- An “isomorphic” version of the sauer-shelah lemma and the banach-mazur distance to the cube.- On complemented subspaces of H 1 and VMO.- An approximation theorem for vector valued functions.- Geometry of finite dimensional subspaces and quotients of L p.- Estimates of bernstein widths of sobolev spaces.- Probabilistic proofs of existence of rare events.- On the behavior of the constant in the littlewood-paley inequality.- On kolmogorov's rearrangement problem for orthogonal systems and garsia's conjecture.- Volumes of sections of cubes and related problems.- On santaló's inequality.- Estimates related to steiner symmetrizations.- A remark concerning the dependence on ? in dvoretzky's theorem.- Almost euclidean sections in spaces with a symmetric basis.