An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities-Reference-Cited by-同舟云学术

An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities

Published:1988 Issue:3 Volume:104 Page:905-909
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Talagrand Michel

Abstract

For vectors x 1 , … , x n {x_1}, \ldots , {x_n} in a Banach space, we bound the deviation of ‖ ∑ i ≤ n ε i x i ‖ \left \| {\sum \nolimits _{i \leq n} {{\varepsilon _i}{x_i}} } \right \| from its median.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-03/S0002-9939-1988-0964871-7/S0002-9939-1988-0964871-7.pdf

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