On spectral gaps of Markov maps
It is shown that if a Markov map T on a noncommutative probability space M has a spectral gap on L2(M), then it also has one on Lp(M) for 1 < p < ∞. For fixed p, the converse also holds if T is factorizable. Some results are also new for classical probability spaces
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositório: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.uam.es:10486/710930 |
| Acesso em linha: | http://hdl.handle.net/10486/710930 https://dx.doi.org/10.1007/s11856-018-1693-1 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Von Neumann Algebra Noncommutative Symmetric Spaces Matemáticas |
| Resumo: | It is shown that if a Markov map T on a noncommutative probability space M has a spectral gap on L2(M), then it also has one on Lp(M) for 1 < p < ∞. For fixed p, the converse also holds if T is factorizable. Some results are also new for classical probability spaces |
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