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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
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