Finite rank perturbations of singular spectra
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- by James S. Howland PDF
- Proc. Amer. Math. Soc. 97 (1986), 634-636 Request permission
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 $V$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 634-636
- MSC: Primary 47A55; Secondary 15A18
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845979-1
- MathSciNet review: 845979