Weak mixing properties of vector sequences

Details Weak mixing properties of vector sequences Weak mixing properties of vector sequences

2005-06-28

arxiv.org/abs/math/0506554v1

Mathematics

Functional Analysis

23 pages

Scientific paper

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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