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Local spectrum and generalized spectrum

Name: Local spectrum and generalized spectrum
Creator: Mostafa Mbekhta
Keywords: local spectrum, closed operator, Cowen-Douglas operators, 1. No poverty, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), case of operator, Spectral operators, decomposable operators, well-bounded operators, etc., generalized resolvent, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1991Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 112, pages 457-463 (issn: 0002-9939, eissn: 1088-6826,

Authors: Mostafa Mbekhta;

doi: 10.1090/s0002-9939-1991-1045142-x , 10.2307/2048740

Local spectrum and generalized spectrum

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Abstract

This paper provides the proofs of those results announced in [ 5 , § 5 ] [5,\S 5] that deal with the connection between the regular set and the local resolvant set of closed operators on a Hilbert space. We also give some characterizations and properties of Cowen-Douglas operators.

Keywords

local spectrum, closed operator, Cowen-Douglas operators, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), case of operator, Spectral operators, decomposable operators, well-bounded operators, etc., generalized resolvent

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