Tensor products of topological abelian groups and Pontryagin duality
Journal of Mathematical Analysis and ApplicationsLet $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of the group of integers, and equipped with the topology of pointwise convergence on $\ZZ^\NN$, becomes a non reflexive prodiscrete group.
María V. Ferrer +2 more
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Tensor products of multimatroids and a Brylawski-type formula for the transition polynomial [PDF]
arXiv, 2023 Brylawski's tensor product formula expresses the Tutte polynomial of the tensor product of two graphs in terms of Tutte polynomials arising from the tensor factors.
Moffatt, Iain +2 more
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Topological Tensor Products of Unbounded Operator Algebras on Frechet Domains
Publications of the Research Institute for Mathematical Sciences, 1997 The aim of this paper is to investigate topological properties of unbounded operator algebras \mathcal A⊂L^+(D) and its stability under the formation of topological tensor products \mathcal A_1 \otimes_\alpha \mathcal A_2 . It is used
Wolf‐Dieter Heinrichs
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Topological properties of spaces of ideals of the minimal tensor product
, 2009 One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its values in a T_1 topological space. This generalizes a 1977 result of L.G. Brown. A new proof is given for a result of R.J.
Aldo J. Lazar
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Topological modules. Banach algebras, tensor products, algebras of kernels [PDF]
Transactions of the American Mathematical Society, 1967 Jesús Gil de Lamadrid
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On the tensor product of a class of non-locally convex topological vector spaces [PDF]
Illinois Journal of Mathematics, 1986 W. Deeb, Roshdi Khalil
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Topological radicals, I. Basic properties, tensor products and joint quasinilpotence [PDF]
arXiv, 2012 The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.
Victor S. Shulman, Yuri V. Turovskii
arxiv +4 more sources
Topological tensor products of a Fréchet-Schwartz space and a Banach space [PDF]
Studia Mathematica, 1993 Alfredo Peris
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Coproducts in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
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The diagonal of the multiplihedra and the tensor product of
Journal de l'École polytechnique. Mathématiques, 2022 We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra.
Guillaume Laplante-Anfossi +1 more
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