Minimal Extensions in Tensor Product Spaces
β Scribed by Grzegorz Lewicki
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 150 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
Let X, Y be two separable Banach spaces and let V/X and W/Y be finite dimensional subspaces. Suppose that V/S/X, W/Z/Y and let M # L(S, V), N # L(Z, W ). We will prove that if : is a reasonable, uniform crossnorm on X Y then
Here for any Banach space X, V/S/X and M # L(S, V )
Also some applications of the above mentioned result will be presented.
π SIMILAR VOLUMES
## Abstract For a countable inductive limit of metrizable locally convex spaces, a condition (M) (in the sense of Retakh) by operators is introduced and the incidence of this property for the interβchageability of (LF)βspaces and tensor products with a Banach space is discussed. Examples are given
An example of two distinguished M c h e t spaces E, F is given (even more, E is quasinormable and F is normable) such that their completed injective tensor product E&F is not distinguished. On the other hand, it is proved that for arbitrary reflexive F r k h e t space E and arbitrary compact set K t