### Spaces of compact operators which are $M$-ideals in $L(X,Y)$.

Cho, Chong-Man (1992)

International Journal of Mathematics and Mathematical Sciences

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Cho, Chong-Man (1992)

International Journal of Mathematics and Mathematical Sciences

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N. Tomczak-Jaegermann (1980-1981)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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Åsvald Lima, Eve Oja (1999)

Studia Mathematica

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We characterize the approximation property of Banach spaces and their dual spaces by the position of finite rank operators in the space of compact operators. In particular, we show that a Banach space E has the approximation property if and only if for all closed subspaces F of ${c}_{0}$, the space ℱ(F,E) of finite rank operators from F to E has the n-intersection property in the corresponding space K(F,E) of compact operators for all n, or equivalently, ℱ(F,E) is an ideal in K(F,E). ...

Nicole Tomczak (1970)

Studia Mathematica

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Peter Kissel, Eberhard Schock (1990)

Commentationes Mathematicae Universitatis Carolinae

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Teresa Alvarez (1988)

Publicacions Matemàtiques

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In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.

F. Oertel (1996)

Acta Universitatis Carolinae. Mathematica et Physica

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