One dimensional perturbations of compact operators
Author:
Harry Hochstadt
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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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 interlace on the real axis.
- [1] Frédéric Riesz and Béla Sz.-Nagy, Leçons d’analyse fonctionnelle, Akadémiai Kiadó, Budapest, 1953 (French). 2ème éd. MR 0056821
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A55, 47B05
Retrieve articles in all journals with MSC: 47A55, 47B05
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1973-0310681-2
Article copyright:
© Copyright 1973
American Mathematical Society