A non-commutative Wiener–Wintner theorem

Semyon Litvinov

doi:10.1215/ijm/1441790385

A non-commutative Wiener–Wintner theorem

Semyon Litvinov

Penn State Hazleton

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

4 Scopus citations

Abstract

For a von Neumann algebra M with a faithful normal tracial state τ and a positive ergodic homomorpsism α: L¹ (M, τ) → L¹ (M, τ) such that τ ◦ α = τ and α does not increase the norm in M, we establish a non-commutative counterpart of the classical Wiener–Wintner ergodic theorem.

Original language	English (US)
Pages (from-to)	697-708
Number of pages	12
Journal	Illinois Journal of Mathematics
Volume	58
Issue number	3
DOIs	https://doi.org/10.1215/ijm/1441790385
State	Published - Sep 1 2014

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/ijm/1441790385

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abstract = "For a von Neumann algebra M with a faithful normal tracial state τ and a positive ergodic homomorpsism α: L1 (M, τ) → L1 (M, τ) such that τ ◦ α = τ and α does not increase the norm in M, we establish a non-commutative counterpart of the classical Wiener–Wintner ergodic theorem.",

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A non-commutative Wiener–Wintner theorem

Abstract

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