On characterising contractions with \(C_{10}\) pure part

DOI10.1007/BF01324731zbMath0908.47019MaRDI QIDQ1378041

Bhaggy Duggal

Publication date: 5 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

weak contractionnormal eigenvaluescompletely nonunitary part\(C_{10}\) pure partHilbert-Schmidt defect operator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

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On -quasi class Operators, On \(p\)-quasi-hyponormal operators, Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent, Asymptotic limits of operators similar to normal operators, On Wold-type decomposition, On quasi-class \(\mathcal A\) contractions, Operators satisfying a similarity condition, A Putnam-Fuglede commutativity property for Hilbert space operators, PF property and property \((\beta )\) for paranormal operators, The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF, ON k-QUASI-CLASS A CONTRACTIONS, On power Drazin normal and Drazin quasi-normal Hilbert space operators

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