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학술저널

LINEAR JORDAN DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

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The purpose of this paper is to prove the following result: Let A be a noncommutative Banach algebra. Suppose that there exist continuous linear Jordan derivations D : A → A, G : A → A such that [D²(x)+G(x),xⁿ] lies in the Jacobson radical of Afor all x ∊ A. Then D(A) ⊂ rad(A) and G(A) ⊂ rad(A).

Abstract

1. Introduction

2. Main Results

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