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Orbits in symmetric spaces, II

N. J. Kalton, F. A. Sukochev, D. Zanin (2010)

Studia Mathematica

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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