The local resolvent set of a locally Lipschitzian transformation is open
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- by E. Lee May PDF
- Proc. Amer. Math. Soc. 55 (1976), 329-333 Request permission
Abstract:
The purpose of this paper is to prove that if $p$ is a point of a complex Banach space $H$ at which the nonlinear transformation $T$ on $H$ is locally Lipschitzian, then the local resolvent set of $T$ at $p$ is open.References
- Edgar Raymond Lorch, Spectral theory, University Texts in the Mathematical Sciences, Oxford University Press, New York, 1962. MR 0136967
- E. Lee May Jr., Localizing the spectrum, Pacific J. Math. 44 (1973), 211–218. MR 315540
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 329-333
- MSC: Primary 47H99
- DOI: https://doi.org/10.1090/S0002-9939-1976-0410500-2
- MathSciNet review: 0410500