On the stability of the linear mapping in Banach spaces
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- by Themistocles M. Rassias PDF
- Proc. Amer. Math. Soc. 72 (1978), 297-300 Request permission
Abstract:
Let ${E_1},{E_2}$ be two Banach spaces, and let $f:{E_1} \to {E_2}$ be a mapping, that is “approximately linear". S. M. Ulam posed the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist". The purpose of this paper is to give an answer to Ulam’s problem.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 297-300
- MSC: Primary 47H15
- DOI: https://doi.org/10.1090/S0002-9939-1978-0507327-1
- MathSciNet review: 507327