### Abstract

For a von Neumann algebra M with a faithful normal tracial state τ and a positive ergodic homomorpsism α: L^{1} (M, τ) → L^{1} (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 |

State | Published - Sep 1 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Illinois Journal of Mathematics*,

*58*(3), 697-708.

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*Illinois Journal of Mathematics*, vol. 58, no. 3, pp. 697-708.

**A non-commutative Wiener–Wintner theorem.** / Litvinov, Semyon.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A non-commutative Wiener–Wintner theorem

AU - Litvinov, Semyon

PY - 2014/9/1

Y1 - 2014/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84955268191&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955268191&partnerID=8YFLogxK

M3 - Article

VL - 58

SP - 697

EP - 708

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

SN - 0019-2082

IS - 3

ER -