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Approximate Riesz Algebra-Valued Derivations

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  • Faruk Polat

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 .

Suggested Citation

  • Faruk Polat, 2012. "Approximate Riesz Algebra-Valued Derivations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-5, September.
    • Handle: RePEc:hin:jnlaaa:240258
    DOI: 10.1155/2012/240258
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