Conjugate linear maps from C*-algebras into their dual spaces which are ternary derivable at the unit element

AuthorsMohsen Niazi
JournalResults in Mathematics
Page number1-10
Serial number75
Volume number3
Paper TypeFull Paper
Published At2020
Journal GradeISI
Journal TypeElectronic
Journal CountryBelgium
Journal IndexJCR،Scopus

Abstract

We prove that every continuous conjugate linear mapping from a unital C*-algebra A into its dual space, A*, which is ternary derivable at the unit element of A is a ternary derivation. This is somehow a ternary counterpart result for (binary) derivations on associative algebras which proves that any linear continuous map from a unital C*-algebra A into a Banach A-bimodule which is derivable at the unit element of A, is a derivation.

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tags: ternary derivation, Jordan triple, ternary module, C*-algebra