Representations of tensor product L.M.C.*-Algebras 1.
Maria Fragoulopoulou (1983)
Manuscripta mathematica
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Maria Fragoulopoulou (1983)
Manuscripta mathematica
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Kyriazis, Athanasios (1989)
Portugaliae mathematica
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Kyriazis, Athanasios (1994)
Portugaliae Mathematica
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Seán Dineen, Pablo Sevilla-Peris (2002)
Studia Mathematica
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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
Benoît Collins, Hun Hee Lee, Piotr Śniady (2014)
Studia Mathematica
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We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Donald Bures (1970)
Compositio Mathematica
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A. MALLIOS (1964)
Mathematische Annalen
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Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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Anna Mantero, Andrew Tonge (1980)
Studia Mathematica
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Miquel Monserrat, Francesc Roselló, Joan Torrens (1992)
Publicacions Matemàtiques
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In this paper we introduce the tensor product of partial algebras w.r.t. a quasi-primitive class of partial algebras, and we prove some of its main properties. This construction generalizes the well-known tensor product of total algebras w.r.t. varieties.
Eberhard Kaniuth (1982)
Mathematische Zeitschrift
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Mayer, Matthias (1999)
Journal of Lie Theory
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José Ansemil, Klaus Floret (1998)
Studia Mathematica
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An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to...