DESCRICTION OF 2-LOCAL DERIVATIONS ON SIMPLE JORDAN ALGEBRAS OVER A FIELD OF CHARACTERISTIC ≠2

The present paper is devoted to the study of 2-local derivations on simple Jordan algebras over a field of characteristic . The Gleason-Kahane-Żelazko theorem, which is a fundamental contribution in the theory of Banach algebras, asserts that every unital linear functional on a complex unital Banach algebra , such that belongs to the spectrum of , for every , is multiplicative (cf. [3], [4]). In modern terminology this is equivalent to the following condition: every unital linear local homomorphism from a unital complex Banach algebra into is multiplicative.

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