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| Title: | A new proof of James’ Sup Theorem |
| Authors: | Morillon, Marianne |
| Keywords: | Teorema del sup de James;Copia asintóticamente isométrica de ℓ1;Teorema de Hagler y Johnson;Secuencias de bloques;Espacios reflexivos de Banach;Axioma de elección;James’ sup theorem;Asymptotically isometric copy of ℓ1;Hagler and Johnson’s theorem;Block sequences;Reflexive Banach spaces;Axiom of Choice |
| Issue Date: | 2005 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | We provide a new proof of James’ sup theorem for (non necessarily sep- arable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson : “If a normed space E does not contain any asymptotically isometric copy of ℓ1, then every bounded sequence of ℓ1 has a normalized ℓ1-block sequence pointwise converging to 0”. |
| URI: | http://hdl.handle.net/10662/16443 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 20, nº 3 (2005) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_20_3_261.pdf | 198,91 kB | Adobe PDF | View/Open |
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