Mixing sequences in hilbert spaces

Daniel Berend; Vitaly Bergelson

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

Mixing sequences in hilbert spaces

Daniel Berend, Vitaly Bergelson

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A general setup is provided for theorems of the Blum-Hanson type. Notions of strongly and weakly mixing sequences of elements in a Hubert 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.

Original language	English
Pages (from-to)	239-246
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	98
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1986-0854026-7
State	Published - 1 Jan 1986

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1986-0854026-7

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title = "Mixing sequences in hilbert spaces",

abstract = "A general setup is provided for theorems of the Blum-Hanson type. Notions of strongly and weakly mixing sequences of elements in a Hubert 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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AB - A general setup is provided for theorems of the Blum-Hanson type. Notions of strongly and weakly mixing sequences of elements in a Hubert 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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Mixing sequences in hilbert spaces

Abstract

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