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

Arup Majumdar; P. Sam Johnson

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

Functional Analysis 2024-03-11 v1

Authors: Arup Majumdar , P. Sam Johnson

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.

Keywords

$A$-approximate point spectrum $A$-bounded operators semi-Hilbertian spaces tensor product $A^{\frac{1}{2}}$-adjoint operators $A$-normal operators

Cite

@article{arxiv.2403.05071,
  title  = {$A$-approximate point spectrum of $A$-bounded operators in semi-Hilbertian spaces},
  author = {Arup Majumdar and P. Sam Johnson},
  journal= {arXiv preprint arXiv:2403.05071},
  year   = {2024}
}

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18 pages

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