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Some properties of the space of compact operators on a Hilbert space

โœ Scribed by Seymour Goldberg

Publisher
Springer
Year
1959
Tongue
English
Weight
192 KB
Volume
138
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

Spaces of Compact Operators on a Hilbert
Spaces of Compact Operators on a Hilbert Space with the Fixed Point Property
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Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.

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Let Z be a fixed separable operator space, X/Y general separable operator spaces, and T : X ร„ Z a completely bounded map. Z is said to have the Complete Separable Extension Property (CSEP) if every such map admits a completely bounded extension to Y and the Mixed Separable Extension Property (MSEP)