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Locally compact semi-algebras generated by a commuting operator family. (English) Zbl 0805.47037

Summary: Conditions are provided for the local compactness of the closed semi- algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of their joint spectral properties.

MSC:

47L10 Algebras of operators on Banach spaces and other topological linear spaces
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