JORDAN DERIVATIONS ON SEMIPRIME RINGS AND THEIR RADICAL RANGE IN BANACH ALGEBRAS

• 발행기관: 충청수학회
• 저자명: Byung Do Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 31, No. 1, 1~12쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2018.02.28

영문 초록

Let R be a 3!-torsion free noncommutative semiprime ring, and suppose there exists a Jordan derivation D : R → R such that D 2 (x)[D(x), x] = 0 or [D(x), x]D 2 (x) = 0 for all x ∈ R. In this case we have f (x) 5 = 0 for all x ∈ R. Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A → A such that D 2 (x)[D(x), x] ∈ rad(A) or [D(x), x]D 2 (x) ∈ rad(A) for all x ∈ A. In this case, we show that D(A) ⊆ rad(A).

목차

1. Introduction

2. Preliminaries

3. Main theorems