Affiliation:
1. Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India
2. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Abstract
Let n≥2 be a fixed integer and A be a C∗-algebra. A permuting n-linear map G:An→A is known to be symmetric generalized n-derivation if there exists a symmetric n-derivation D:An→A such that Gς1,ς2,…,ςiςi′,…,ςn=Gς1,ς2,…,ςi,…,ςnςi′+ςiD(ς1,ς2,…,ςi′,…,ςn) holds ∀ςi,ςi′∈A. In this paper, we investigate the structure of C∗-algebras involving generalized linear n-derivations. Moreover, we describe the forms of traces of linear n-derivations satisfying certain functional identity.
Funder
Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
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