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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the Weyl spectrum of a Hilbert space operator


Author: John V. Baxley
Journal: Proc. Amer. Math. Soc. 34 (1972), 447-452
MSC: Primary 47A10
DOI: https://doi.org/10.1090/S0002-9939-1972-0298444-7
MathSciNet review: 0298444
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Abstract: Using the perturbation definition of the Weyl spectrum, conditions are given on a closed (possibly unbounded) linear operator T in a Hilbert space which allow the Weyl spectrum to be characterized as a subset of the spectrum of T.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0298444-7
Keywords: Weyl spectrum, Hilbert space operator, eigenvalue, algebraic multiplicity, geometric multiplicity, perturbation, compact operators
Article copyright: © Copyright 1972 American Mathematical Society