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 T is dually p-nuclear provided that T* is p-nuclear? (iii) Is it true that if T* is compactly factorable in the space lp, then T is (strictly) factorable in the space lp′? Here, T* is the adjoint operator of a bounded operator T : X → Y in Banach spaces X and Y. Bibliography. 30 titles.
Original language | English |
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Pages (from-to) | 3911-3951 |
Number of pages | 41 |
Journal | Journal of Mathematical Sciences |
Volume | 107 |
Issue number | 3 |
DOIs | |
State | Published - 2001 |
Externally published | Yes |
ID: 5574652