Mixing sequences in Hilbert spaces

Berend, Daniel; Bergelson, Vitaly

doi:10.1090/S0002-9939-1986-0854026-7

Mixing sequences in Hilbert spaces
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Proc. Amer. Math. Soc. 98 (1986), 239-246 Request permission

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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