Geodesic
Orbits in symmetric spaces, II
N. J. Kalton 1   ; F. A. Sukochev 2   ; D. Zanin 3
1 Department of Mathematics University of Missouri-Columbia Columbia, MO 65211, U.S.A.
2 School of Mathematics and Statistics University of New South Wales Sydney, NSW 2052, Australia
3 School of Computer Science, Engineering and Mathematics Flinders University Adelaide, SA 5042, Australia
Studia Mathematica, Tome 197 (2010) no. 3, pp. 257-274 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm197-3-4
Keywords: suppose fully symmetric banach function space infty fully symmetric banach sequence space necessary sufficient conditions its orbit omega closed convex hull its extreme points application symmetrically normed ideals compact operators hilbert space

N. J. Kalton  1   ; F. A. Sukochev  2   ; D. Zanin  3

1 Department of Mathematics University of Missouri-Columbia Columbia, MO 65211, U.S.A.
2 School of Mathematics and Statistics University of New South Wales Sydney, NSW 2052, Australia
3 School of Computer Science, Engineering and Mathematics Flinders University Adelaide, SA 5042, Australia 
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N. J. Kalton; F. A. Sukochev; D. Zanin. Orbits in symmetric spaces, II. Studia Mathematica, Tome 197 (2010) no. 3, pp. 257-274. doi: 10.4064/sm197-3-4

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