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# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Orbits in symmetric spaces, II

### Tom 197 / 2010

Studia Mathematica 197 (2010), 257-274 MSC: 46E30, 46B70, 46B20. DOI: 10.4064/sm197-3-4

#### Streszczenie

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.

#### Autorzy

• N. J. KaltonDepartment of Mathematics
University of Missouri-Columbia
Columbia, MO 65211, U.S.A.
e-mail
• F. A. SukochevSchool of Mathematics and Statistics
University of New South Wales
Sydney, NSW 2052, Australia
e-mail
• D. ZaninSchool of Computer Science, Engineering and Mathematics
Flinders University