Commutator criteria for strong mixing II. More general and simpler

Abstract We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong mixing property of discrete flows {Uᴺ}N&...

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Autores principales:	Richard,S., Tiedra de Aldecoa,R.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Materias:	Strong mixing unitary representations commutator methods
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100037
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spelling	oai:scielo:S0719-064620190001000372019-08-09Commutator criteria for strong mixing II. More general and simplerRichard,S.Tiedra de Aldecoa,R. Strong mixing unitary representations commutator methods Abstract We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong mixing property of discrete flows {Uᴺ}N∈ℤ and continuous flows {e-itH}t∈ℝ induced by unitary operators U and self-adjoint operators H in a Hilbert space. As an application, we present a short alternative proof (not using convolutions) of the strong mixing property of the left regular representation of σ-compact locally compact groups.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.1 20192019-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100037en10.4067/S0719-06462019000100037
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Strong mixing unitary representations commutator methods
spellingShingle	Strong mixing unitary representations commutator methods Richard,S. Tiedra de Aldecoa,R. Commutator criteria for strong mixing II. More general and simpler
description	Abstract We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong mixing property of discrete flows {Uᴺ}N∈ℤ and continuous flows {e-itH}t∈ℝ induced by unitary operators U and self-adjoint operators H in a Hilbert space. As an application, we present a short alternative proof (not using convolutions) of the strong mixing property of the left regular representation of σ-compact locally compact groups.
author	Richard,S. Tiedra de Aldecoa,R.
author_facet	Richard,S. Tiedra de Aldecoa,R.
author_sort	Richard,S.
title	Commutator criteria for strong mixing II. More general and simpler
title_short	Commutator criteria for strong mixing II. More general and simpler
title_full	Commutator criteria for strong mixing II. More general and simpler
title_fullStr	Commutator criteria for strong mixing II. More general and simpler
title_full_unstemmed	Commutator criteria for strong mixing II. More general and simpler
title_sort	commutator criteria for strong mixing ii. more general and simpler
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100037
work_keys_str_mv	AT richards commutatorcriteriaforstrongmixingiimoregeneralandsimpler AT tiedradealdecoar commutatorcriteriaforstrongmixingiimoregeneralandsimpler
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Commutator criteria for strong mixing II. More general and simpler

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