Let A be a Banach *-algebra with an identity. Necessary and sufficient conditions are given for A to be commutative module its *-radical and for A to be commutative if A has a faithful *-representation as operators on a Hilbert space.
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Ji, GX
Tomiyama, J
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机构:Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China