An elementary proof of surjectivity for a class of accretive operators
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- by William O. Ray PDF
- Proc. Amer. Math. Soc. 75 (1979), 255-258 Request permission
Abstract:
An operator A defined on a real Banach space X is said to be locally accretive if, for each $\lambda > 0,x \in X$ and each y near x, $x,\left \| {x - y} \right \| \leqslant \left \| {x - y + \lambda (Ax - Ay)} \right \|$. It is shown that if $A:X \to X$ is locally accretive and locally Lipschitzian then $(I + A)(X) = X$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 255-258
- MSC: Primary 47H06; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532146-0
- MathSciNet review: 532146