Geodesic
U-ideals of factorable operators
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 607-616 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $u$-ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.
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 $u$-ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.
Classification : 46A32, 46B20, 46B25, 46B28, 46B99, 46H10, 47L20
Keywords: factorization of linear operators; u-ideal; approximation properties; unconditional basis 
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     title = {U-ideals of factorable operators},
     journal = {Czechoslovak Mathematical Journal},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999_49_3_a11/}
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John, Kamil. U-ideals of factorable operators. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 607-616. http://geodesic.mathdoc.fr/item/CMJ_1999_49_3_a11/

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