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.
A characterization of the norm ideals of compact operators on Hilbert space
β Scribed by J.R Holub
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 464 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let X = d v p and Y = d w q be Lorentz sequence spaces. We investigate when the space K X Y of compact linear operators acting from X to Y forms or does not form an M-ideal (in the space of bounded linear operators). We show that K X Y fails to be a non-trivial M-ideal whenever p = 1 or p > q. In th
## Abstract Analytic operator valued functions of two operators on tensor products of Hilbert spaces are considered. A precise norm estimate is established. Applications to operator differential equations are also discussed. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)