Orbits in symmetric spaces, II

Nigel Kalton; Fyodor Sukochev; Dmitriy Zanin

doi:10.4064/sm197-3-4

Orbits in symmetric spaces, II

Nigel Kalton, Fyodor Sukochev, Dmitriy Zanin

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Suppose E is fully symmetric Banach function space on (0,1) or (0, ∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω (f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.

Original language	English
Pages (from-to)	257-274
Number of pages	18
Journal	Studia Mathematica
Volume	197
Issue number	3
DOIs	https://doi.org/10.4064/sm197-3-4
Publication status	Published - 2010

Keywords

Fully symmetric spaces
Hardy-littlewood majorization
Orbits

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10.4064/sm197-3-4

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AB - Suppose E is fully symmetric Banach function space on (0,1) or (0, ∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω (f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.

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KW - Hardy-littlewood majorization

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