A non-commutative Wiener–Wintner theorem

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)697-708
Number of pages12
JournalIllinois Journal of Mathematics
Volume58
Issue number3
StatePublished - Sep 1 2014

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Ergodic Theorem
Von Neumann Algebra
Faithful
Norm
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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. / Litvinov, Semyon.

In: Illinois Journal of Mathematics, Vol. 58, No. 3, 01.09.2014, p. 697-708.

Research output: Contribution to journalArticle

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