JORDAN DERIVATIONS MAPPING INTO THE JACOBSON RADICAL

• 발행기관: 충청수학회
• 저자명: KYoo-HONG PARK YONG-SOO JUNG
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 14, No. 1, 21~28쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2001.02.28

영문 초록

In this paper we show that the following results remain valid for arbitrary Jordan derivations as well: Let d be a derivation of a complex Banach algebra A. If d2 (x) E rad(A) for all x E A , then we have d(A) 드 rad(A) ([5, p. 243]), and in a case when A is unital, d(A) 드 rad(A) if and only if sup{r(z- l d(z))lz E A invertible} < ∞ ([3]), where rad(A) stands for the Jacobson radical of A , and r(.) for the spectral radius.

목차

1. Introduction

2. Results for the Jordan Derivation