Orbits in symmetric spaces, II

Details Orbits in symmetric spaces, II Orbits in symmetric spaces, II

2010-03-09

arxiv.org/abs/1003.1817v1

Mathematics

Functional Analysis

Scientific paper

Suppose $E$ is fully symmetric Banach function space on $(0,1)$ or
$(0,\infty)$ or a fully symmetric Banach sequence space. We give necessary and
sufficient conditions on $f\in E$ so that its orbit $\Omega(f)$ 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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