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
Remarks on M-Ideals of Compact Operators on X ⊕p X
✍ Scribed by Eve Oja; Dirk Werner
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 473 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
We characterize those BANACH spaces X for which K(X 0, X) is an M-ideal in L(X 0, X) by means of a variant of the compact metric approximation property. As a consequence we obtain that such a space X must be hereditarily P-rich.
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