S-Mixing Tuple of Operators on Banach Spaces

We consider the question: what is the appropriate formulation of Godefroy-Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S -mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S -mixing. Moreover, we study some new properties of S -mixing operators on several concrete Banach spaces.

Abstract licence: CC BY

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