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Proceedings of the American Mathematical Society

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

 
 

 

Reductive weak decomposable operators are spectral


Author: Kôtarô Tanahashi
Journal: Proc. Amer. Math. Soc. 87 (1983), 44-46
MSC: Primary 47B40
DOI: https://doi.org/10.1090/S0002-9939-1983-0677228-9
MathSciNet review: 677228
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Abstract: We show that if a bounded linear operator $ T$ on a complex Hilbert space is reductive and weak decomposable, then $ T$ is a spectral operator with a normal scalar part. This is a generalization of a result due to Jafarian [3].


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DOI: https://doi.org/10.1090/S0002-9939-1983-0677228-9
Keywords: Spectral operator, decomposable operator, weak decomposable operator, reductive operator
Article copyright: © Copyright 1983 American Mathematical Society

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