An Operator Inequality Which Implies Paranormality

DOI10.7153/mia-02-09zbMath0926.47014OpenAlexW2313813818MaRDI QIDQ4238854

Ariyadasa Aluthge, Derming Wang

Publication date: 29 November 1999

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-02-09

zbMATH Keywords

\(p\)-hyponormal operatorhyponormal operatorparanormallog-hyponormal operator\(w\)-hyponormal

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (16)

Properties of \(p\)-\(\omega\)-hyponormal operators ⋮ Weak supercyclicity: dynamics of paranormal operators ⋮ Generalized derivation, SVEP, finite ascent, range closure ⋮ Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent ⋮ On an elementary operator with \(w\)-hyponormal operator entries ⋮ On Fuglede-Putnam properties ⋮ Class \(wA(s,t)\) operators and quasisimilarity ⋮ Some invariant subspaces for w-hyponormal operators ⋮ PF property and property \((\beta )\) for paranormal operators ⋮ Square of \(w\)-hyponormal operators ⋮ Powers of an invertible \(\omega\)-hyponormal operator ⋮ Reduced commutativity of moduli of operators ⋮ Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity ⋮ Generalized Fuglede-Putnam Theorem and $m$-quasi-class $A(k)$ operators ⋮ \(\omega\)-hyponormal operators. II ⋮ Asymetric Fuglede Putnam’s theorem for operators reduced by their eigenspaces

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