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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2002- Vitali D. Milman,Gideon Schechtman Book 2004 Springer-Verlag Berlin Heidelbe

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Vitali D. Milman,Gideon SchechtmanIncludes supplementary material:
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Several Remarks Concerning the Local Theory of , Spaces,of their containing . spaces. We also show that a diagonal of the canonical basis of ., . > 2, with an unconditional basic sequence in . whose span is complemented, spans a space which is isomorphic to a complemented subspace of ..
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On John-Type Ellipsoids,at the Löwner-John ellipsoid of . is its unique fixed point. A new characterization of the Löwner-John ellipsoid is obtained, and we also gain information regarding the contact points of inscribed ellipsoids with ..
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Isomorphic Random Subspaces and Quotients of Convex and Quasi-Convex Bodies,ither a closed convex body (not necessarily symmetric) or a closed symmetric quasi-convex body. We show that if a generic subspace of some fixed proportional dimension of one such space is isomorphic to a generic quotient of some proportional dimension of another space then for . proportion arbitrar
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On the Thermodynamic Limit for Disordered Spin Systems,tructure. Most of the facts are well known, although we discuss also the recent progress in establishing the thermodynamic limit in the mean field type models with random interaction. We consider also simplest models of statistical physics, displaying phase transitions.
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