We prove an extension of the Jacobson density theorem for Banach algebras with automorphisms, and discuss its applications. In particular, automorphisms a of Banach algebras such that the map alpha - 1 is spectrally bounded are characterized.
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Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
Shanxi Datong Univ, Dept Math, Datong 037009, Peoples R ChinaSoochow Univ, Dept Math, Suzhou 215006, Peoples R China
Huang, Lizhong
Chen, Lin
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Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
Anshun Univ, Dept Math & Phys, Anshun 561000, Peoples R ChinaSoochow Univ, Dept Math, Suzhou 215006, Peoples R China
Chen, Lin
Lu, Fangyan
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Soochow Univ, Dept Math, Suzhou 215006, Peoples R ChinaSoochow Univ, Dept Math, Suzhou 215006, Peoples R China