descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1977 English Publisher:Springer Science and Business Media LLCJournal:Monatshefte für Mathematik, volume 84, pages 143-153 (issn: 0026-9255, eissn: 1436-5081,

Authors: STAMPFLI, J.G.; Wadhwa, B.L.;

doi: 10.1007/bf01579599

On dominant operators

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Abstract

This paper is devoted to the study of dominant operators with an emphasis on their spectral properties. In particular the equation (T−λ)f(λ)≡ ≡x (T a dominant or hyponormal operator on the Hilbert space ℌ,x∈ℌ andf a function from the open setU to ℌ) is investigated in an effort to discover necessary and/or sufficient conditions for the analyticity off.

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Keywords

510.mathematics, Invariant subspaces of linear operators, Spectrum, resolvent, Subnormal operators, hyponormal operators, etc., Article

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