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

 

Finite rank perturbations of singular spectra


Author: James S. Howland
Journal: Proc. Amer. Math. Soc. 97 (1986), 634-636
MSC: Primary 47A55; Secondary 15A18
MathSciNet review: 845979
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Abstract: Let $ T$ be selfadjoint, and $ V$ nonnegative of finite rank, with the range of $ V$ cyclic for $ T$. Then the singular parts of $ T$ and $ H = T + V$ are supported on two sets $ {S_T}$ and $ {S_H}$ such that the multiplicity of $ T$ on $ {S_T} \cap {S_H}$ is less than the rank of $ V$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0845979-1
PII: S 0002-9939(1986)0845979-1
Article copyright: © Copyright 1986 American Mathematical Society



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