On the M-structure of the operator space L(CK)
Dirk Werner, Wend Werner (1987)
Studia Mathematica
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Displaying similar documents to “Ideals of extendable and liftable operators.”
On the M-structure of the operator space L(CK)
Ideals of finite rank operators, intersection properties of balls, and the approximation property
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 , 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). ...
On operators factorizable through space
Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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Lucid operators on Banach spaces
Peter Kissel, Eberhard Schock (1990)
Commentationes Mathematicae Universitatis Carolinae
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Factoring Rosenthal operators.
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.
On Banach spaces which are M-ideals in their biduals.
Juan Carlos Cabello Piñar (1990)
Extracta Mathematicae
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A Banach space X is an M-ideal in its bidual if the relation ||f + w|| = ||f|| + ||w|| holds for every f in X* and every w in X ⊥. The class of the Banach spaces which are M-ideals in their biduals, in short, the class of M-embedded spaces, has been carefully investigated, in particular by A. Lima, G. Godefroy and the West Berlin School. The spaces c0(I) -I any set- equipped with their canonical norm belong...
U-ideals of factorable operators
Kamil John (1999)
Czechoslovak Mathematical Journal
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We suggest a method of renorming of spaces of operators which are suitably approximable by sequences of operators from a given class. Further we generalize J. Johnsons’s construction of ideals of compact operators in the space of bounded operators and observe e.g. that under our renormings compact operators are -ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.