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arXiv · 2505.16924

Some spectral properties and convergence of the $ (A,q)$-numerical radius and $ (A,q)$-Crawford number

Pembe Ipek Al·Zameddin I. Ismailov·Fuad Kittaneh·Satyajit Sahoo
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Abstract

In this study, some estimates are given for the $ (A,q)$-numerical radius and $ (A,q)$-Crawford number via the $ A$-numerical radius and $ A$-Crawford number for the $ A $-bounded linear operators in any complex semi-Hilbert space, respectively. Then, some evolutions are studied for the tensor product of two operators. Lastly, some convergence properties of the $ (A,q)$-numerical radius and $ (A,q)$-Crawford number, via the $ A$-uniform convergence of operator sequences, are investigated. We also considered several examples to illustrate our results. Finally, a few applications of some operator functions classes are also given.

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Pembe Ipek Al, Zameddin I. Ismailov, Fuad Kittaneh, Satyajit Sahoo. 2025-05-22. Some spectral properties and convergence of the $ (A,q)$-numerical radius and $ (A,q)$-Crawford number. https://arxiv.org/abs/2505.16924

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