An elementary operator and generalized Weyl's theorem

DOI10.1186/1029-242X-2012-243zbMath1286.47018WikidataQ59291122 ScholiaQ59291122MaRDI QIDQ385830

Fugen Gao, Xiaochun Li

Publication date: 11 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

elementary operatorgeneralized derivationgeneralized Weyl's theoremclass A operatorsgeneralized \(a\)-Weyl's theoremsingle valued extension property (SVEP)

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Local spectral properties of linear operators (47A11)

Cites Work

• On an elementary operator with \(w\)-hyponormal operator entries
• An operator transform from class A to the class of hyponormal operators and its application
• A note on generalized Weyl's theorem
• Polaroid operators satisfying Weyl's theorem
• Weyl type theorems for left and right polaroid operators
• An extension of Putnam-Fuglede theorem for hyponormal operators
• Spectra, tensor products, and linear operator equations
• The single valued extension property on a Banach space
• An elementary operator with log-hyponormal, \(p\)-hyponormal entries
• On p-hyponormal operators for \(0<p<1\)
• On the class of paranormal operators