$q$-Numerical Range of Operators in Semi-Hilbertian space

This article presents a generalization of the $q$-numerical range of an operator $T \in \mathcal{B}(\mathcal{H})$ in the context of semi-Hilbertian spaces. Significant findings regarding the q-numerical range and radius have been established.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-02-27
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
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article

$q$-Numerical Range of Operators in Semi-Hilbertian space

arXiv (Cornell University)
Approximation Theory and Sequence Spaces
article

$q$-Numerical Range of Operators in Semi-Hilbertian space

article en

Abstract

This article presents a generalization of the $q$-numerical range of an operator $T \in \mathcal{B}(\mathcal{H})$ in the context of semi-Hilbertian spaces. Significant findings regarding the q-numerical range and radius have been established.

arXiv (Cornell University)
Reduced inequalities
Openalex Percentile: Top 46%
Approximation Theory and Sequence Spaces
Open Access PDFOpenAlex
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$q$-Numerical Range of Operators in Semi-Hilbertian space · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS