Riesz idempotent, spectral mapping theorem and Weyl's theorem for \((m,n)^*\)-paranormal operators

DOI10.1515/rose-2023-2016OpenAlexW4385349300WikidataQ122147940 ScholiaQ122147940MaRDI QIDQ6062256

Sonu Ram, Preeti Dharmarha

Publication date: 30 November 2023

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose-2023-2016

zbMATH Keywords

Weyl spectrumspectral mapping theoremRiesz idempotentWeyl theorem\((m, n)^*\)-paranormal operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Local spectral properties of linear operators (47A11)

Cites Work

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• Weyl's theorems for some classes of operators
• Riesz idempotent and Weyl's theorem for \(w\)-hyponormal operators
• Polaroid operators satisfying Weyl's theorem
• Operators with finite ascent
• Operators which do not have the single valued extension property
• On the isolated points of the spectrum of paranormal operators
• Spectral mapping theorems for essential spectra
• Weyl's Theorem for Class A Operators
• A note on k-paranormal operators
• Approximate point spectrum and commuting compact perturbations
• Isolated spectral points
• New Approaches in Spectral Decomposition
• Essential spectra through local spectral theory
• Weyl's theorem through local spectral theory
• On (p,k)-quasihyponormal operators
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A spectral mapping theorem for the Weyl spectrum
• A NOTE ON ∗-PARANORMAL OPERATORS AND RELATED CLASSES OF OPERATORS
• Approximate Proper Vectors