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Proceedings of the American Mathematical Society

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

 

 

A necessary condition for quasitriangularity


Author: James A. Deddens
Journal: Proc. Amer. Math. Soc. 32 (1972), 630-631
MSC: Primary 47.40
DOI: https://doi.org/10.1090/S0002-9939-1972-0288614-6
MathSciNet review: 0288614
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Abstract: In this note we prove that if T is a quasitriangular operator then $ \Lambda (T + K) = \Pi (T + K)$ for all compact operators K.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0288614-6
Keywords: Quasitriangular operator, compact operator, approximate point spectrum
Article copyright: © Copyright 1972 American Mathematical Society