This is a preview of subscription content, log in via an institution to check access.
References
H. D. Block-P.C. Rosenbloom, Perturbations of Non-Linear Eigenvalue Problems. Arch. Math.7, 172–183 (1956).
N. Dunford-J. Schwartz, Spectral Theory. Interscience Publ., New York 1957.
E.Hille, Functional Analysis and Semi-Groups. Amer. Math. Soc. Coll. Publ. 31, New York 1948.
S. L. Jamison, Perturbation of normal operators. Proc. Amer. Math. Soc.5, 103–110 (1954).
T. Kato, On the Convergence of the Perturbation Method. J. Fac. Sci., Univ. Tokyo, Sect. I4, 145–226 (1951).
T. Kato, On the Perturbation Theory of Closed Linear Operators. J. Math. Soc. Japan4, 323–337 (1952).
F. Wolf, Analytic Perturbation of Operators in Banach Spaces. Math. Ann.124, 317–333 (1954).
Author information
Authors and Affiliations
Additional information
The results in this paper are extensions of those submitted in a Technical Report prepared under contract DA-04-200-ORD-171 for the Office of Ordnance Research, U.S. Army, (1955) under the supervision of F.Wolf.
Rights and permissions
About this article
Cite this article
Butler, J. Perturbation series for eigenvalues of Analytic Non-symmetric Operators. Arch. Math 10, 21–27 (1959). https://doi.org/10.1007/BF01240753
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01240753