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Weak mixing properties of vector sequences

L. Zsido
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Abstract

Notions of weak and uniformly weak mixing (to zero) are defined for bounded sequences in arbitrary Banach spaces. Uniformly weak mixing for vector sequences is characterized by mean ergodic convergence properties. For bounded sequences, which satisfy a certain domination condition, it is shown that weak mixing to zero is equivalent with uniformly weak mixing to zero.

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L. Zsido. 2005-06-28. Weak mixing properties of vector sequences. https://arxiv.org/abs/math/0506554

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