CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

Title & Authors
CONTINUITY OF AN APPROXIMATE JORDAN MAPPING
Lee, Young-Whan;

Abstract
We show that every $\small{\varepsilon-approximate}$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\small{\varepsilon-approximate}$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $\small{1+\varepsilon}$ 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;
Language
English
Cited by
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