On perturbations of Fredholm operators in $L_{p}(\mu )$-spaces
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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.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- 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