Orbits and Khinchine-type inequalities in symmetric spaces

Author: Dmitriy Zanin

Zanin, Dmitriy, 2011 Orbits and Khinchine-type inequalities in symmetric spaces, Flinders University, School of Computer Science, Engineering and Mathematics

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Abstract

A criterion is found for the orbit of an interpolation semigroup to be a closed convex hull of its extreme points in a given fully symmetric quasi-Banach space. Various generalisations of Khinchine inequality are proved in large class of symmetric spaces.

Keywords: symmetric spaces,interpolation semigroup,Khinchine inequality
Subject: Mathematics thesis

Thesis type: Doctor of Philosophy
Completed: 2011
School: School of Computer Science, Engineering and Mathematics
Supervisor: Peter Dodds, Fyodor Sukochev