Euclidean Sections of Direct Sums of Normed Spaces
Copyright policy )Euclidean Sections of Direct Sums of Normed Spaces
AbstractWe study the dimension of “random” Euclidean sections of direct sums of normed spaces. We compare the obtained results with results from [LMS], to show that for the direct sums the standard randomness with respect to the Haar measure on Grassmanian coincides with a much “weaker” randomness of “diagonal” subspaces (Corollary 1.4 and explanation after). We also add some relative information on “phase transition”.
- Tel Aviv University Israel
- University of Alberta Canada
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), random Euclidean section, Probabilistic methods in Banach space theory, Dvoretzky's theorem, Local theory of Banach spaces, phase transition in asymptotic convexity
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), random Euclidean section, Probabilistic methods in Banach space theory, Dvoretzky's theorem, Local theory of Banach spaces, phase transition in asymptotic convexity
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