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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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https://doi.org/10.1007/978-3-476-05878-2. – ..| for all ., ., does it follow that. where |. | is the Euclidean norm and B(.) is the ball centered at . and of radius .? Under some additional assumptions, we give a probabilistic proof of this and of other related results.
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https://doi.org/10.1007/978-3-531-90081-0here exist ..,…, .. ⊂ . such that .. ⊂ .{..…, ..} and. This answers a question of V. Milman which appeared during a GAFA seminar talk about the hyperplane problem. We add logarithmical estimates concerning the hyperplane conjecture for proportional subspaces and quotients of Banach spaces with unconditional basis.
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Projection Functions on Higher Rank Grassmannians,ow that the behaviour in the case of higher rank manifolds is often very different from the rank 1 case. We also study the images of projection functions under Radon transforms. If X is an .-dimensional normed space, and . denotes the Banach-Mazur distance, then .(., ..) ≤ ...
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