One dimensional perturbations of compact operators
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- by Harry Hochstadt PDF
- Proc. Amer. Math. Soc. 37 (1973), 465-467 Request permission
Abstract:
Let K denote a compact selfadjoint operator acting on a Hilbert space H. L denotes a one dimensional selfadjoint operator also acting on H. It is shown that the eigenvalues of K and $K + L$ interlace on the real axis.References
- Frédéric Riesz and Béla Sz.-Nagy, Leçons d’analyse fonctionnelle, Akadémiai Kiadó, Budapest, 1953 (French). 2ème éd. MR 0056821
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 465-467
- MSC: Primary 47A55; Secondary 47B05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310681-2
- MathSciNet review: 0310681