Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 29 Issue 2
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- Pages.257-264
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- 1992
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Operators in L(X,Y) in which K(X,Y) is a semi M-ideal
Abstract
Since Alfsen and Effors [1] introduced the notion of an M-ideal, many authors [3,6,9,12] have worked on the problem of finding those Banach spaces X and Y for which K(X,Y), the space of all compact linear operators from X to Y, is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y. The M-ideal property of K(X,Y) in L(X,Y) gives some informations on X,Y and K(X,Y). If K(X) (=K(X,X)) is an M-ideal in L(X) (=L(X,X)), then X has the metric compact approximation property [5] and X is an M-ideal in
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