# CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

Lee, Young-Whan

• Published : 2005.07.01
• 46 10

#### 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

#### References

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