Abstract
Conditions are given under which a Rellich’s perturbation theorem for normal operators on Hilbert spaces may be generalized for spectral operators on Banach spaces.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W. G. Bade,Weak and strong limits of spectral operators, Pacific J. Math.4 (1954), 393–413.
N. Dunford and J. Schwartz,Linear Operators, I, II, New York Interscience Publishers, 1958, 1963.
S. R. Foguel,The relations between a spectral operator and its scalar part. Pacific J. Math.8 (1958), 51–65.
I. Kaplansky,A theorem on rings of operators, Pacific J. Math.1 (1951), 227–232.
F. Rellich,Störungstheorie der Spektralzerlegung II, Math. Ann.113 (1936), 667–685.
L. Tzafriri,Operators commuting with Boolean algebras of projections of finite multiplicity, to appear in Pacific J. Math.
----,Operators commuting with Boolean algebras of projections of infinite multiplicity, sent for publication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tzafriri, L. On perturbation theory for spectral operators. Israel J. Math. 4, 62–64 (1966). https://doi.org/10.1007/BF02760072
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02760072