Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2006– Bo‘az Klartag,Shahar Mendelson,Vitali D. Milman Book 2012 Springer-Verlag Be

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On Multiplicative Maps of Continuous and Smooth Functions,om in families of continuous functions). Our results in the real case are mostly simple extensions of known theorems. We then show that in the complex case, the only additional freedom allowed is complex conjugation. Finally, we apply those results to characterize the Fourier transform between certain function spaces.

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Order Isomorphisms on Convex Functions in Windows,show that any order isomorphism on these classes must be induced by a point map on the epi-graphs of the functions, and determine the exact form of this map. To this end we study convexity preserving maps on subsets of ., and also in this area we have some new interpretations, and proofs.

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奇怪

,On the Distribution of the ψ2-Norm of Linear Functionals on Isotropic Convex Bodies,ψ.-estimate with a given constant .. We introduce the function . and we discuss lower bounds for ψ.(.), .. Information on the distribution of the ψ.-norm of linear functionals is closely related to the problem of bounding from above the mean width of isotropic convex bodies.

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Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem,tein’s method to show that this phenomenon persists in the bounded-Lipschitz distance for .-dimensional marginals of .-dimensional distributions, if .. In this paper, a somewhat different approach is used to show that the phenomenon persists if ., and that this estimate is best possible.

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https://doi.org/10.1007/978-3-663-07155-6arge outer volume ratio and large vertex index. Finally, we improve the constant in the latter bound for the case of the Euclidean ball from . to ., providing a completely new approach to the problem.

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Figate

Diskurse des Climate Engineeringdy of vector bundles on a manifold. In particular it is shown that for a compact manifold . there exists a canonical isomorphism between the .-ring constructed out of finitely generated projective ..(.)-modules and the classical topological ..-ring constructed out of vector bundles over ..