[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2005.20.3.505

CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

Lee, Young-Whan (Department of Computer and Information Security Daejeon University)

Publication Information

Communications of the Korean Mathematical Society / v.20, no.3, 2005 , pp. 505-509 More about this Journal

Abstract

We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].

Keywords

Banach algebra; automatic continuity; Jordan mapping; super stability; approximate mapping;

Citations & Related Records

Reference

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