A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911957469102080 |
|---|---|
| author | Pelczar-Barwacz, Anna |
| author_facet | Pelczar-Barwacz, Anna |
| contents | We construct a Banach space X of Gowers-Maurey type such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space and the operator ideal of strictly singular operators SS(X). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10170 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X) Pelczar-Barwacz, Anna Functional Analysis 46B03, 46B10, 46B28 We construct a Banach space X of Gowers-Maurey type such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space and the operator ideal of strictly singular operators SS(X). |
| title | A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X) |
| topic | Functional Analysis 46B03, 46B10, 46B28 |
| url | https://arxiv.org/abs/2211.10170 |