A Perron FrobeniusTheory for Representations of Locally Compact Abelian Groups.
U. Groh, G. Greiner (1983)
Mathematische Annalen
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U. Groh, G. Greiner (1983)
Mathematische Annalen
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Elliot Gootman (1975)
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Łukasz Garncarek (2014)
Colloquium Mathematicae
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Robert P. Boyer (2003)
Studia Mathematica
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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...
Anne C. Morel (1968)
Colloquium Mathematicae
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A. Strasburger, A. Wawrzyńczyk (1972)
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Fred Clare (1976)
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N. I. Kryuchkov (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
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Mohammed E.B. Bekka (1990)
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M. Cianfarani, J.-M. Paoli, P. Simonnet, J.-C. Tomasi (2014)
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In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
Walter Schempp, Bernd Dreseler (1973)
Manuscripta mathematica
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Walter Schempp, Bernd Dreseler (1972)
Manuscripta mathematica
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Eberhard Kaniuth, M.E.B. Bekka (1988)
Journal für die reine und angewandte Mathematik
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M. Rajagopalan (1964/65)
Mathematische Zeitschrift
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Eva Matoušková, Miroslav Zelený (2003)
Colloquium Mathematicae
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We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.