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arXiv:2403.05071 [math.FA]AbstractReferencesReviewsResources

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

Arup Majumdar, P. Sam Johnson

Published 2024-03-08Version 1

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.

Comments: 18 pages
Categories: math.FA
Subjects: 47A10, 47A30, 47A80, 46C05
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