A note on the A-spectrum of A-bounded operators

DOI10.7153/oam-2023-17-40OpenAlexW4387716887MaRDI QIDQ6122883

Mohammed Mabrouk, Hamadi Baklouti

Publication date: 4 March 2024

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2023-17-40

zbMATH Keywords

semi-inner productspectrumpositive operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65) Linear operators in algebras (47C05)

Cites Work

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• Metric properties of projections in semi-Hilbertian spaces
• Joint numerical ranges of operators in semi-Hilbertian spaces
• Essential numerical ranges of operators in semi-Hilbertian spaces
• Spectral analysis of bounded operators on semi-Hilbertian spaces
• Partial isometries in semi-Hilbertian spaces
• Growth conitions and the numerical range in a Banach algebra
• \(A\)-numerical radius and product of semi-Hilbertian operators
• On the local spectral properties of weighted shift operators

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