K-closedness results in noncommutative Lebesgue spaces with filtrations
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909695177916416 |
|---|---|
| author | Moyart, Hugues |
| author_facet | Moyart, Hugues |
| contents | In this paper, we establish a new general $K$-closedness result in the context of real interpolation of noncommutative Lebesgue spaces involving filtrations. As an application, we derive $K$-closedness results for various classes of noncommutative martingale Hardy spaces, addressing a problem raised by Randrianantoanina. The proof of this general result adapts Bourgain's approach to the real interpolation of classical Hardy spaces on the disk within the framework of noncommutative martingales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12335 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | K-closedness results in noncommutative Lebesgue spaces with filtrations Moyart, Hugues Operator Algebras Functional Analysis 46L51, 46L52, 46L53, 46B70 (Primary) 46E30, 60G42, 60G48 (Secondary) In this paper, we establish a new general $K$-closedness result in the context of real interpolation of noncommutative Lebesgue spaces involving filtrations. As an application, we derive $K$-closedness results for various classes of noncommutative martingale Hardy spaces, addressing a problem raised by Randrianantoanina. The proof of this general result adapts Bourgain's approach to the real interpolation of classical Hardy spaces on the disk within the framework of noncommutative martingales. |
| title | K-closedness results in noncommutative Lebesgue spaces with filtrations |
| topic | Operator Algebras Functional Analysis 46L51, 46L52, 46L53, 46B70 (Primary) 46E30, 60G42, 60G48 (Secondary) |
| url | https://arxiv.org/abs/2407.12335 |