$$\textit{A}$$ A -approximate point spectrum of $$\textit{A}$$ A -bounded operators in semi-Hilbertian spaces

Arup Majumdar () and P. Sam Johnson ()
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Arup Majumdar: National Institute of Technology Karnataka
P. Sam Johnson: National Institute of Technology Karnataka

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1163-1176

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

Keywords: Semi-Hilbertian space; $$\textit{A}$$ A -approximate point spectrum; $$\textit{A}$$ A -normal operator; Primary 47A10; 47A30; 47A80; 46C05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00831-4

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