Banach bimodule-valued positive maps: Inequalities and induced representations
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908828100984832 |
|---|---|
| author | Bellomonte, Giorgia Ivkovic, Stefan Trapani, Camillo |
| author_facet | Bellomonte, Giorgia Ivkovic, Stefan Trapani, Camillo |
| contents | In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace-class operators and the spaces of bounded linear operators from a von Neumann algebra into the dual of another von Neumann algebra. Also, we deduce some new inequalities for these maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_24113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Banach bimodule-valued positive maps: Inequalities and induced representations Bellomonte, Giorgia Ivkovic, Stefan Trapani, Camillo Functional Analysis Operator Algebras In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace-class operators and the spaces of bounded linear operators from a von Neumann algebra into the dual of another von Neumann algebra. Also, we deduce some new inequalities for these maps. |
| title | Banach bimodule-valued positive maps: Inequalities and induced representations |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2410.24113 |