Work

A Non-commutative Wiener-Wintner Theorem

Year: 2014
Type: preprint
Abstract: For a von Neumann algebra $\cal M$ with a faithful normal tracial state $τ$ and a positive ergodic homomorphism $α:\mathcal L^1(\mathcal M,τ)\to \mathcal L^1(\mathcal M,τ)$ such that $α$ does not increase the norm in $\mathcal M$ and $τ\circ α=τ$, we establish a non-commutative counterpart of the classical Wiener-Wintner Theorem.
Language: English
Open Access status: green
OpenAlex ID: W2949370679
Cites: 7
Cited by: 1
Related to: 20