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 |
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Pages (from-to) | 257-274 |
Number of pages | 18 |
Journal | Studia Mathematica |
Volume | 197 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 |
Keywords
- Fully symmetric spaces
- Hardy-littlewood majorization
- Orbits