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The quasinilpotent equivalence in Banach algebras. (English) Zbl 0802.46064
Summary: Sufficient conditions for the quasinilpotent equivalence of commutators and for the elementary multiplications on a Banach algebra are given. It is shown if two elements of Banach algebra are quasinilpotent equivalent and if they are zeros of the same entire function then such elements are equal.

MSC:
46H05 General theory of topological algebras
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