A Study of the Extreme Points in the Unit Ball of $JT$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910034187780096 |
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| author | Argyros, Spiros A. |
| author_facet | Argyros, Spiros A. |
| contents | In this note, we investigate the extreme points of the unit ball of the James Tree space ($JT$). We relate the geometric structure of $JT$ to the classical James space $J$ and provide partial characterizations of extremality based on the concept of separated vectors. We provide a complete characterization for positive vectors and establish the equal sums property for positive extreme points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23207 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Study of the Extreme Points in the Unit Ball of $JT$ Argyros, Spiros A. Functional Analysis 46B04, 46B45 In this note, we investigate the extreme points of the unit ball of the James Tree space ($JT$). We relate the geometric structure of $JT$ to the classical James space $J$ and provide partial characterizations of extremality based on the concept of separated vectors. We provide a complete characterization for positive vectors and establish the equal sums property for positive extreme points. |
| title | A Study of the Extreme Points in the Unit Ball of $JT$ |
| topic | Functional Analysis 46B04, 46B45 |
| url | https://arxiv.org/abs/2602.23207 |