Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913533350903808 |
|---|---|
| author | Feki, Kais Patra, Arnab Rani, Jyoti Taki, Zakaria |
| author_facet | Feki, Kais Patra, Arnab Rani, Jyoti Taki, Zakaria |
| contents | This paper introduces and investigates the concept of the $q$-numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning the $q$-numerical radius associated with these operator tuples. Furthermore, we extend our study to define the $q$-numerical range in semi-Hilbert spaces and provide a proof of its convexity. Additionally, we explore several related results in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces Feki, Kais Patra, Arnab Rani, Jyoti Taki, Zakaria Functional Analysis 47A63, 47A12, 47A05, 47A30 This paper introduces and investigates the concept of the $q$-numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning the $q$-numerical radius associated with these operator tuples. Furthermore, we extend our study to define the $q$-numerical range in semi-Hilbert spaces and provide a proof of its convexity. Additionally, we explore several related results in this context. |
| title | Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces |
| topic | Functional Analysis 47A63, 47A12, 47A05, 47A30 |
| url | https://arxiv.org/abs/2410.03669 |