JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I

JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I

The purpose of this paper is to prove that the noncom-mutative version of the Singer-Wermer Conjecture is affirmative undercertain conditions. Let A be a noncommutative Banach algebra. Sup-pose there exists a continuous linear Jordan derivation D : A→ A suchthat D(x)3[D(x), x] ∈ rad(A) for all x ∈ A...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2013, 28(3), , pp.535-558
1. Verfasser: Kim, Byung-Do
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:The purpose of this paper is to prove that the noncom-mutative version of the Singer-Wermer Conjecture is affirmative undercertain conditions. Let A be a noncommutative Banach algebra. Sup-pose there exists a continuous linear Jordan derivation D : A→ A suchthat D(x)3[D(x), x] ∈ rad(A) for all x ∈ A. In this case, we show that D(A) ⊆ rad(A). KCI Citation Count: 4
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2013.28.3.535