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arXiv · 2403.05071

$A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces

Arup Majumdar·P. Sam Johnson
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Abstract

This paper delves into several characterizations of $A$-approximate point spectrum of A-bounded operators acting on a complex semi-Hilbertian space $H$ and also investigates properties of the $A$-approximate point spectrum for the tensor product of two $A^{\frac{1}{2}}$-adjoint operators. Furthermore, several properties of $A$-normal operators have been established.

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Arup Majumdar, P. Sam Johnson. 2024-03-08. $A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces. https://arxiv.org/abs/2403.05071

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