Results 21 to 30 of about 1,273 (222)
Embeddings of locally compact abelian p-groups in Hawaiian groups
, 2022 We show that locally compact abelian p-groups can be embedded in the first Hawaiian group on a compact path connected subspace of the Euclidean space of dimension four.
Bavuma Y, Russo F
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The weights of closed subgroups of a locally compact group [PDF]
, 2012 Let G be an infinite locally compact group and let @ be a cardinal satisfying @0 @ w.G/ for the weight w.G/ of G. It is shown that there is a closed subgroup N of G with w.N / D @. Sample consequences are: (1) Every infinite compact group contains
Hernández, Salvador +5 more
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Tensor products of commutative Banach algebras
International Journal of Mathematics and Mathematical Sciences, 1982 Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that,
U. B. Tewari, M. Dutta, Shobha Madan
doaj +1 more source
A bridge theorem for the entropy of semigroup actions
Topological Algebra and its Applications, 2020 The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
doaj +1 more source
Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
doaj +1 more source
Saturation on locally compact abelian groups
Manuscripta Mathematica, 1972 Let G be an arbitrary locally compact abelian group. It is the purpose of the present paper to establish saturation theorems for approximation processes generated by families (μt)t > 0 of complex bounded Radon measures on G and operating on a submodule of the Banach module Lp(G), Lp(G), over the convolution algebra .
Schempp, Walter, Dreseler, Bernd
openaire +2 more sources
Splitting of extensions in the category of locally compact abelian groups [PDF]
International Journal of Group Theory, 2014 Let $pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible, $sigma-$compact $X$ in $pounds$ splits. We also determine the
Hossein Sahleh , Akbar Alijani
doaj
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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Quantum reference frames for general symmetry groups [PDF]
Quantum, 2020 A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described.
Anne-Catherine de la Hamette +1 more
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