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arXiv · 1003.1817

Orbits in symmetric spaces, II

N. J. Kalton·F. A. Sukochev·D. V. Zanin
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Abstract

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 $Ω(f)$ 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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N. J. Kalton, F. A. Sukochev, D. V. Zanin. 2010-03-09. Orbits in symmetric spaces, II. https://arxiv.org/abs/1003.1817

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