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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Local spectrum and generalized spectrum


Author: Mostafa Mbekhta
Journal: Proc. Amer. Math. Soc. 112 (1991), 457-463
MSC: Primary 47A10; Secondary 47B40
MathSciNet review: 1045142
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Abstract: This paper provides the proofs of those results announced in $ [5,\S5]$ 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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1045142-X
PII: S 0002-9939(1991)1045142-X
Keywords: Local spectrum, generalized spectrum, core of operator, Cowen-Doglas operators
Article copyright: © Copyright 1991 American Mathematical Society