Article ID Journal Published Year Pages File Type
4615212 Journal of Mathematical Analysis and Applications 2015 19 Pages PDF
Abstract

We discuss some necessary and some sufficient conditions for an elementary operator x↦∑i=1naixbi on a Banach algebra A to be spectrally bounded. In the case of length three, we obtain a complete characterisation when A acts irreducibly on a Banach space of dimension greater than three.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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