Approximate Riesz Algebra-Valued Derivations

Faruk Polat

Abstract and Applied Analysis, 2012, vol. 2012, 1-5

Abstract:

Let be a Riesz algebra with an extended norm such that is complete. Also, let be another extended norm in weaker than such that whenever (a) and in , then ; (b) and in , then . Let and be two nonnegative real numbers. Assume that a map satisfies and for all . In this paper, we prove that there exists a unique derivation such that , ( ). Moreover, for all .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:240258

DOI: 10.1155/2012/240258

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