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2-Local derivations on algebras of matrix-valued functions on a compact (1509.05701v1)
Published 18 Sep 2015 in math.OA
Abstract: In the present paper 2-local derivations on various algebras of infinite dimensional matrix-valued functions on a compact are considered. It is proved that every 2-local derivation on such algebra is a derivation. Also we explain that the method developed in the given paper can be applied to associative, Jordan and Lie algebras of infinite dimensional matrix-valued functions on a compact.