On the geometry of spaces of K-valued operators
Ehrhard Behrends (1988)
Studia Mathematica
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Displaying similar documents to “Factorable and strictly singular operators in a product space”
On the geometry of spaces of K-valued operators
The history of a general criterium on spaceability
Víctor M. Sánchez (2017)
Open Mathematics
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There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general...
Strictly singular and strictly cosingular operators on C(K,E)
Fernando Bombal Gordon, Beatriz Porras Pomares (1988)
Extracta Mathematicae
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On the M-structure of the operator space L(CK)
Dirk Werner, Wend Werner (1987)
Studia Mathematica
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Compositions of operator ideals and their regular hulls
F. Oertel (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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Banach spaces which are proper M-ideals
Ehrhard Behrends, Peter Harmand (1985)
Studia Mathematica
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The structure of L-ideals of measures algebras
Keiji Izuchi (1976)
Studia Mathematica
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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.