Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915437453770752 |
|---|---|
| author | Zhou, Haoyu Liu, Qi Wang, Yuxin Liang, Man Fu, Linlin |
| author_facet | Zhou, Haoyu Liu, Qi Wang, Yuxin Liang, Man Fu, Linlin |
| contents | This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently, it deduces the lower bound of the skew von Neumann constant within weak Orlicz spaces. Then, leveraging the relationship between weak Orlicz spaces and weak Lebesgue spaces, the lower bound of the skew von Neumann - Jordan constant in weak Lebesgue spaces is established. Meanwhile, in this paper, we also generalize the skew von Neumann constant. Then we present the lower bounds for the $p$-th von Neumann constant in weak Orlicz spaces and weak Lebesgue spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06999 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces Zhou, Haoyu Liu, Qi Wang, Yuxin Liang, Man Fu, Linlin Functional Analysis This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently, it deduces the lower bound of the skew von Neumann constant within weak Orlicz spaces. Then, leveraging the relationship between weak Orlicz spaces and weak Lebesgue spaces, the lower bound of the skew von Neumann - Jordan constant in weak Lebesgue spaces is established. Meanwhile, in this paper, we also generalize the skew von Neumann constant. Then we present the lower bounds for the $p$-th von Neumann constant in weak Orlicz spaces and weak Lebesgue spaces. |
| title | Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.06999 |