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Spaces of Compact Operators on a Hilbert Space with the Fixed Point Property

✍ Scribed by Patrick N. Dowling; Narcisse Randrianantoanina

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
111 KB
Volume
168
Category
Article
ISSN
0022-1236

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✦ Synopsis

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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