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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Generalized inverses and spectral theory


Authors: Constantin Apostol and Kevin Clancey
Journal: Trans. Amer. Math. Soc. 215 (1976), 293-300
MSC: Primary 47A65
DOI: https://doi.org/10.1090/S0002-9947-1976-0383121-2
MathSciNet review: 0383121
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Abstract: The concept of a generalized spectral projection associated with a subset in the semi-Fredholm domain of a bounded operator on a Hilbert space is introduced. These generalized spectral projections possess many of the desirable properties of spectral projections associated with spectral sets. In particular, generalized spectral projections are used to separate finite sets of singular points from the semi-Fredholm domain.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0383121-2
Article copyright: © Copyright 1976 American Mathematical Society