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Approximation Properties and Some Classes of Operators

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Abstract

The following questions and close problems are studied.(i) Is it true that T is p-nuclear provided that T ** is p-nuclear? (ii) Is it true that Tis dually p-nuclear provided that T * is p-nuclear? (iii) Is it true that if T *is compactly factorable in the space l p, then T is (strictly) factorable in the space l p'? Here, T * is the adjoint operator of a bounded operator T:X → Yin Banach spaces X and Y. Bibliography: 30 titles.

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  1. O. I. Reinov
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Reinov, O.I. Approximation Properties and Some Classes of Operators. Journal of Mathematical Sciences 107, 3911–3951 (2001). https://doi.org/10.1023/A:1012392212102

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