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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Joram Lindenstrauss,Vitali D. Milman Conference proceedings 1988 Springer-Ve

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書(shū)目名稱Geometric Aspects of Functional Analysis
副標(biāo)題Israel Seminar (GAFA
編輯Joram Lindenstrauss,Vitali D. Milman
視頻videohttp://file.papertrans.cn/384/383461/383461.mp4
叢書(shū)名稱Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Joram Lindenstrauss,Vitali D. Milman Conference proceedings 1988 Springer-Ve
描述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.
出版日期Conference proceedings 1988
關(guān)鍵詞Banach Space; Convexity; banach spaces; functional analysis
版次1
doihttps://doi.org/10.1007/BFb0081732
isbn_softcover978-3-540-19353-1
isbn_ebook978-3-540-39235-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1988
The information of publication is updating

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Geometric Aspects of Functional Analysis978-3-540-39235-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/BFb0081732Banach Space; Convexity; banach spaces; functional analysis
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J.-B. Michel,J. L. Salzmann,M. Safare might be true of any space ?. ⊕ . where . is a separable Banach space. This conjecture turns out to be true, and by proving it here we give the first example of a reasonably large class of Banach spaces for which the solution to the invariant subspace problem is known. This continues the sequence
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,On Milman’s inequality and random subspaces which escape through a mesh in ,,,Let . be a subset in the Euclidean space .. and 1 <- . < .. We find sufficient conditions which guarantee the existence and even with probability close to 1, of .-codimensional subspaces which miss .. As a consequence we derive a sharp form of Milman‘s inequality and discuss some applications to Banach spaces.
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Dimension, non-linear spectra and width,This talk presents a Morse-theoretic overview of some well known results and less known problems in spectral geometry and approximation theory.
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