Failure of noncommutative Rota's theorem with $L\log L$ endpoint

We construct a factorizable Markov map $T$ on a hyperfinite finite von Neumann algebra and a positive element $x \in L \log L$ for which the sequence $T^{n} (T^{*})^{n} x$ does not converge bilaterally almost uniformly. This answers a question of Anantharaman-Delaroche \cite{AD2006}.

Failure of noncommutative Rota's theorem with $L \log L$ endpoint

文献摘要

讨论

讲解博客

AI智能校验

Failure of noncommutative Rota's theorem with $L \log L$ endpoint

文献摘要

讨论

讲解博客

AI智能校验

Failure of noncommutative Rota's theorem with Llog⁡LLlogL endpoint

文献摘要

讨论

|讲解博客

|AI智能校验

Failure of noncommutative Rota's theorem with Llog⁡LLlogL endpoint

文献摘要

讨论

|讲解博客

|AI智能校验

Failure of noncommutative Rota's theorem with $L \log L$ endpoint

讲解博客

AI智能校验

Failure of noncommutative Rota's theorem with $L \log L$ endpoint

讲解博客

AI智能校验