The Extreme Points of the Unit Ball of the James space $J$ and its dual spaces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910884883857408 |
|---|---|
| author | Argyros, Spiros A. González, Manuel |
| author_facet | Argyros, Spiros A. González, Manuel |
| contents | We provide a new proof of S. Bellenot's characterization of the extreme points of the unit ball $B_J$ of James quasi-reflexive space $J$. We also provide an explicit description of the norm of $J^{**}$ which yields an analogous characterization for the extreme points of $B_{J^{**}}$. In the last part of the paper we describe the set of all extreme points of $B_{J^*}$ and its norm closure. It is remarkable that the descriptions of the extreme points of $B_J$ and $B_{J^*}$ are closely connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14104 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Extreme Points of the Unit Ball of the James space $J$ and its dual spaces Argyros, Spiros A. González, Manuel Functional Analysis 46B03, 46B20 We provide a new proof of S. Bellenot's characterization of the extreme points of the unit ball $B_J$ of James quasi-reflexive space $J$. We also provide an explicit description of the norm of $J^{**}$ which yields an analogous characterization for the extreme points of $B_{J^{**}}$. In the last part of the paper we describe the set of all extreme points of $B_{J^*}$ and its norm closure. It is remarkable that the descriptions of the extreme points of $B_J$ and $B_{J^*}$ are closely connected. |
| title | The Extreme Points of the Unit Ball of the James space $J$ and its dual spaces |
| topic | Functional Analysis 46B03, 46B20 |
| url | https://arxiv.org/abs/2406.14104 |