Paranormal operators on Banach spaces

DOI10.1017/S0004972700005980zbMath0417.47005MaRDI QIDQ3207632

N. N. Chourasia, P. B. Ramanujan

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Weyl's theoremparanormal operators on Banach spaces

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (13)

A note on generalized Weyl's theorem ⋮ Normal Operators and their Generalizations ⋮ Topological uniform descent and Weyl type theorem ⋮ Weyl type theorems for unbounded class-\(\mathcal {A}\) operators ⋮ Algebraically paranormal operators on Banach spaces ⋮ A note on the Browder's and Weyl's theorem ⋮ Property \((w)\) for perturbations of polaroid operators ⋮ On \((m, p)\)-expansive and \((m, p)\)-contractive operators on Hilbert and Banach spaces ⋮ Analytically class A operators and Weyl's theorem ⋮ Weyl's theorem for paranormal closed operators ⋮ Riesz projections for a class of Hilbert space operators ⋮ Weyl's theorem for totally hereditarily normaloid operators ⋮ Weyl's theorem for perturbations of paranormal operators

Cites Work

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• The relations between a spectral operator and its scalar part
• On a class of operators
• On the essential spectrum of an arbitrary operator. I
• Eigenvalues in the boundary of the numerical range
• Necessary and sufficient conditions for Weyl's theorem
• Orthogonal Decomposition of Isometries in a Banach Space
• Classes of Semi-Inner-Product Spaces

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