Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 1987-88
Herausgegeben:Lindenstrauss, Joram; Milman, Vitali D.

• Broschiertes Buch

Produktbeschreibung

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 santal¿'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.

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Produktdetails

• Lecture Notes in Mathematics 1376
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-51303-2
• 1989.
• Seitenzahl: 300
• Erscheinungstermin: 7. Juni 1989
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 480g
• ISBN-13: 9783540513032
• ISBN-10: 3540513035
• Artikelnr.: 23844202

Inhaltsangabe

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.