Orbits in symmetric spaces, II

• Autorzy: N. J. Kalton , F. A. Sukochev , D. Zanin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B70: Interpolation between normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 197
• Numer: 3
• Strony: 257-274

Daty

wydano

2010

Twórcy

autor

N. J. Kalton

• Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, U.S.A.

autor

F. A. Sukochev

• School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia

autor

D. Zanin

• School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, SA 5042, Australia

Identyfikatory

DOI

10.4064/sm197-3-4