A perturbed elementary operator and range-kernel orthogonality

DOI10.1090/S0002-9939-05-08337-1zbMath1082.47031OpenAlexW1531633510MaRDI QIDQ3373695

Bhaggy Duggal

Publication date: 8 March 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08337-1

zbMATH Keywords

normperturbationHilbert spacenormal operatorrange-kernel orthogonalityquasi-nilpotent operatorgeneralised scalar operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

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Size of the peripheral point spectrum under power or resolvent growth conditions ⋮ Remarks on the range and the kernel of generalized derivation

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