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A remark on the containment of c0 in spaces of compact operators

Published online by Cambridge University Press:  24 October 2008

G. Emmanuele
G. Emmanuele
Affiliation:
Department of Mathematics, University of Catania, Viale A. Doria, 6-95125 Catania, Italy
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Extract

Let X, Y be two Banach spaces. By L(X, Y) (resp. K(X, Y)) we denote the Banach space of all bounded, linear (resp. compact, bounded, linear) operators from X into Y. Several papers have been devoted to the question of when c0 embeds isomorphically into K(X, Y) (see 5, 8, 9 and their references) and its relationship with the following question:

(i) is K(X, Y) always uncomplemented in L(X, Y) when L(X, Y)K(X, Y)?

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 331 - 335
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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