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Proceedings of the American Mathematical Society

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On perturbations of Fredholm operators in $ L\sb{p}(\mu )$-spaces


Author: L. Weis
Journal: Proc. Amer. Math. Soc. 67 (1977), 287-292
MSC: Primary 47B30; Secondary 47A55
DOI: https://doi.org/10.1090/S0002-9939-1977-0467377-X
MathSciNet review: 0467377
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Abstract: Answering a question of Milman, we show that a continuous linear operator $ T:{L_p}(\mu ) \to {L_p}(\mu ),1 < p < 2$, is a Fredholm perturbation iff T is strictly singular.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0467377-X
Keywords: $ {L_p}(\mu )$-spaces, Fredholm perturbation
Article copyright: © Copyright 1977 American Mathematical Society