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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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On two theorems of lozanovskii concerning intermediate Banach lattices,
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Vector-valued hausdorff-young inequalities and applications,
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The invariant subspace problem on a class of nonreflexive Banach spaces, 1,e might be true of any space ℓ. ⊕ . 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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0075-8434 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
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The invariant subspace problem on a class of nonreflexive Banach spaces, 1,ad [5,1]) and here continues with the case of any separable Banach space containing ℓ. as a complemented subspace. No counter-example is known to the author for a Banach space which does not contain ℓ..
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0075-8434 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.978-3-540-19353-1978-3-540-39235-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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