Joint $q$-Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces
| Autor: | Feki, Kais, Patra, Arnab, Rani, Jyoti, Taki, Zakaria |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 21 pages |
| Databáze: | arXiv |
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