The oscillation of an operator on $L^{p}$
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- by George R. Barnes and Robert Whitley PDF
- Trans. Amer. Math. Soc. 211 (1975), 339-351 Request permission
Abstract:
We introduce and discuss the oscillation of an operator T mapping ${L^p}(S,\Sigma ,\mu )$ into a Banach space. We establish results relating the oscillation, a “local norm", to the norm of the operator. Also using the oscillation we define a generalization of the Fredholm operators T with index $\kappa (T) < \infty$ and a corresponding perturbation class which contains the compact operators.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 211 (1975), 339-351
- MSC: Primary 47B37
- DOI: https://doi.org/10.1090/S0002-9947-1975-0405158-6
- MathSciNet review: 0405158