Some relations betweens-numbers of operators on Banach spaces
β Scribed by Stefan Geiss
- Publisher
- Springer Vienna
- Year
- 1990
- Tongue
- English
- Weight
- 575 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that for the KΓΆthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of norm attaining operators from X into any infinite-dimensional strictly convex Banach space Y is not dense in the space of all bounded operators. The same assertion holds for any infinitedimensional L 1 (Β΅)
We show that any series Γ K of operators in L X, Y that is unconditionally n n convergent in the weak operator topology and satisfies the condition that Γ K n g F n is a compact operator for every index set F : β«ήβ¬ is unconditionally convergent in the uniform operator topology if and only if X \*, t