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http://hdl.handle.net/10662/8923
| Title: | A note on some isomorphic properties in projective tensor products |
| Authors: | Ghenciu, Ioana |
| Keywords: | R-sets;Sequentially Right spaces;L-limited property;L-limited sets;Conjuntos R;Conjuntos limitados en L;Propiedad limitada en L;Espacios secuencialmente correctos |
| Issue Date: | 2017 |
| Publisher: | Universidad de Extremadura |
| Abstract: | A Banach space X is sequentially Right (resp. weak sequentially Right) if every Right subset of X* is relatively weakly compact (resp. weakly precompact). A Banach space X has the L-limited (resp. the wL-limited) property if every L-limited subset of X* is relatively weakly compact (resp. weakly precompact). We study Banach spaces with the weak sequentially Right and the wL-limited properties. We investigate whether the projective tensor product of two Banach spaces X and Y has the sequentially Right property when X and Y have the respective property. |
| URI: | http://hdl.handle.net/10662/8923 |
| Appears in Collections: | Extracta Mathematicae Vol. 32, nº 1 (2017) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_32_1_1.pdf | 161,53 kB | Adobe PDF | View/Open |
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