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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA J. Lindenstrauss,V. Milman Conference proceedings 1995 Birkhäuser Verlag 199

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书目名称Geometric Aspects of Functional Analysis
副标题Israel Seminar (GAFA
编辑J. Lindenstrauss,V. Milman
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA J. Lindenstrauss,V. Milman Conference proceedings 1995 Birkhäuser Verlag 199
描述This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its various aspects. In view of the spectacular development in infinite-dimensional Banach space theory in recent years (like the solution of the hyperplane problem, the unconditional basic sequence problem and the distortion problem in Hilbert space) it is quite natural that the present volume contains substantially more contributions in this direction than the previous volumes. This volume also contains many important contributions in the "traditional directions" of this seminar such as probabilistic methods in functional analysis, non-linear theory, harmonic analysis and especially the local theory of Banach spaces and its connection to classical convexity theory in IRn. The papers in this volume are original research papers and include an invited sur
出版日期Conference proceedings 1995
关键词Finite; Fourier transform; Hilbert space; calculus; function; functional analysis; geometry; harmonic analy
版次1
doihttps://doi.org/10.1007/978-3-0348-9090-8
isbn_softcover978-3-0348-9902-4
isbn_ebook978-3-0348-9090-8Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Verlag 1995
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A Hereditarily Indecomposable Space with an Asymptotic Unconditional Basis, the symbol ‘<’ in this context, which is becoming standard, see the next section.) Loosely, such a space looks like .. if one goes far enough along the basis. The argument is completed with the proof that if 1 < . < ∞ then an asymptotically .. space with an unconditional basis is arbitrarily distortable.
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Products of Unconditional Bodies, ≤ . ≤ ∞, and . and . are unconditional bodies that are maximal subject to . · . ⊂ ., then . ·. = .; in other words, for any . we have . · ... = .. This generalises Lozanovskii’s theorem. We also construct an example to show that equality need not hold for a general unconditional body M: . · ... = . does not hold in general.
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Estimates for Cone Multipliers, ball. Our argument shows also that if μ is a measure supported by . and . = 0 on a neighborhood of the cone Γ, then if . surface measure of T, one may bound ||(μ * μ) ρ||. for certain . < 2. This fact and especially an understanding for what surfaces this phenomenon holds, seems of independent interest.
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0255-0156 shed privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its
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,Pathophysiologie — Pathomorphologie, ≤ . ≤ ∞, and . and . are unconditional bodies that are maximal subject to . · . ⊂ ., then . ·. = .; in other words, for any . we have . · ... = .. This generalises Lozanovskii’s theorem. We also construct an example to show that equality need not hold for a general unconditional body M: . · ... = . does not hold in general.
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Asymptotic Infinite-Dimensional Theory of Banach Spaces,others. However, it has been realized recently that such a nice and elegant structural theory does not exist. Recent examples (or counter-examples to classical problems) due to Gowers and Maurey [GM] and Gowers [G.2], [G.3] showed much more diversity in the structure of infinite dimensional subspaces of Banach spaces than was expected.
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