On \(\ast\)-paranormal contractions and properties for \(\ast\)-class \(A\) operators

DOI10.1016/j.laa.2011.06.002zbMath1234.47008OpenAlexW2079837860MaRDI QIDQ665922

In Hyoun Kim, Bhaggy Duggal, In Ho Jeon

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.002

zbMATH Keywords

tensor product\(\ast\)-paranormal operators\(C_{.0}\)-contraction\(\ast\)-class \(A\) operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Tensor products of linear operators (47A80)

Related Items (19)

The Berberian's transform and an asymmetric Putnam-Fuglede theorem ⋮ On \(\ast \)-class A contractions ⋮ On \(k\)-quasi-\(*\)-paranormal operators ⋮ On \((n,k)\)-quasi-\(*\)-paranormal operators ⋮ Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent ⋮ Unnamed Item ⋮ Tensor products and the spectral continuity for \(k\)-quasi-\(\ast\)-class A operators ⋮ Spectral and topological properties of linear operators on a Hilbert space ⋮ A note on \(k\)-quasi-\(\ast \)-paranormal operators ⋮ Unnamed Item ⋮ On properties of class \(A(n)\) and \(n\)-paranormal operators ⋮ On properties of \(k\)-quasi-class \(A(n)\) operators ⋮ The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF ⋮ Reducibility of invariant subspaces of operators related to \(k\)-quasiclass-\(A(n)\) operators ⋮ ON THE SPECTRAL CONTINUITY ⋮ STRUCTURAL AND SPECTRAL PROPERTIES OF k-QUASI-*-PARANORMAL OPERATORS ⋮ Asymmetric Putnam-Fuglede theorem for \((n,k)\)-quasi-\(\ast\)-paranormal operators ⋮ Unnamed Item ⋮ CONTINUITY OF THE SPECTRUM ON (classA)^*

Cites Work

• Hereditarily polaroid operators, SVEP and Weyl's theorem
• Bishop's property (β) for paranormal operators
• Asymptotic intertwining and spectral inclusions on Banach spaces
• Tensor products of operators—strong stability and p-hyponormality
• ON OPERATORS WITH AN ABSOLUTE VALUE CONDITION
• Seminormality of operators from their tensor product
• On the tensor products of operators
• TENSOR PRODUCTS OF LOG-HYPONORMAL OPERATORS
• Approximate Proper Vectors
• Spectral theory of linear operators and spectral systems in Banach algebras
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