Mixing sequences in Hilbert spaces

Authors:
Daniel Berend and Vitaly Bergelson

Journal:
Proc. Amer. Math. Soc. **98** (1986), 239-246

MSC:
Primary 47A35; Secondary 28D05

DOI:
https://doi.org/10.1090/S0002-9939-1986-0854026-7

MathSciNet review:
854026

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Abstract: A general setup is provided for theorems of the Blum-Hanson type. Notions of strongly and weakly mixing sequences of elements in a Hilbert space are defined, and equivalent characterizations are derived. It turns out that many known generalizations of the Blum-Hanson theorem are special cases of an abstract version which is also suitable for the nonlinear situation.

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DOI:
https://doi.org/10.1090/S0002-9939-1986-0854026-7

Article copyright:
© Copyright 1986
American Mathematical Society