Range-kernel orthogonality and range closure of an elementary operator

DOI10.1007/s00605-003-0055-0zbMath1083.47029OpenAlexW1984076505MaRDI QIDQ706204

Robin E. Harte, Bhaggy Duggal

Publication date: 7 February 2005

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-003-0055-0

zbMATH Keywords

contractionhyponormal operatorelementary operatorrange-kernel orthogonalityisolated point of spectrumrange closure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (4)

The closure of the range of an elementary operator ⋮ Cyclic kernels of elementary operators on Banach spaces ⋮ Elementary operators, finite ascent, range closure and compactness ⋮ On the range closure of an elementary operator

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