Elementary operators, finite ascent, range closure and compactness

DOI10.1016/j.laa.2014.02.020zbMath1308.47044OpenAlexW2019649666MaRDI QIDQ2447973

Bhaggy Duggal, Carlos S. Kubrusly, Slaviša V. Djordjević

Publication date: 29 April 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.02.020

zbMATH Keywords

polaroidcompactnessorthogonalityrange closureBanach space elementary operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (2)

Generalized derivation, SVEP, finite ascent, range closure ⋮ Power bounded m-left invertible operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an elementary operator with \(w\)-hyponormal operator entries
• Range-kernel orthogonality and range closure of an elementary operator
• Generalized Browder's and Weyl's theorems for left and right multiplication operators
• Operators that are orthogonal to the range of a derivation
• Properties which normal operators share with normal derivations and related operators
• The numerical range of elementary operators
• Subspace gaps and range-kernel orthogonality of an elementary operator
• The closure of the range of an elementary operator
• Eigenvalues in the boundary of the numerical range
• Tensor product of left polaroid operators
• POLAROID OPERATORS AND GENERALIZED BROWDER—WEYL THEOREMS
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Orthogonality of the range and the kernel of some elementary operators
• On Normal Derivations
• Spectral theory of linear operators and spectral systems in Banach algebras
• Generalized Anderson's inequality

This page was built for publication: Elementary operators, finite ascent, range closure and compactness