Results 21 to 30 of about 311,330 (338)
Shannon’s theorem for locally compact groups [PDF]
The Annals of Probability, 2022 We consider random walks on locally compact groups, extending the geometric criteria for the identification of their Poisson boundary previously known for discrete groups. First, we prove a version of the Shannon-McMillan-Breiman theorem, which we then use to generalize Kaimanovich's ray approximation and strip approximation criteria.
Forghani B., Tiozzo G.
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A dichotomy property for locally compact groups [PDF]
, 2018 We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by ...
Ferrer, Marita +2 more
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Derivative for Functions f:G→H, Where G Is a Metric Divisible Group
Mathematics, 2022 In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz +2 more
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Conjugacy class conditions in locally compact second countable groups [PDF]
, 2015 Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Wesolek, Phillip
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On Character Space of the Algebra of BSE-functions [PDF]
Sahand Communications in Mathematical Analysis, 2018 Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character
Mohammad Fozouni
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Asymptotic invariants of lattices in locally compact groups
Comptes Rendus. Mathématique, 2023 The aim of this work is to understand some of the asymptotic properties of sequences of lattices in a fixed locally compact group. In particular we will study the asymptotic growth of the Betti numbers of the lattices renormalized by the covolume and the
Carderi, Alessandro
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Locally compact convergence groups and n-transitive actions [PDF]
, 2012 All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnected. We show that no such actions exist for n=2 and that these actions for
Carette, Mathieu, Dreesen, Dennis
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Compact Subgroups of Lie Groups and Locally Compact Groups [PDF]
Proceedings of the American Mathematical Society, 1994 We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group G G has the inductivity property for compact subgroups if and only if the factor group G / G 0 G/{G_0} modulo the ...
Hofmann, Karl H., Terp, Christian
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Sahand Communications in Mathematical Analysis, 2018 Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat +2 more
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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 $\aleph$ a cardinal satisfying $\aleph_0\le\aleph\le w(G)$ for the weight $w(G)$ of $G$. It is shown that there is a closed subgroup $N$ of $G$ with $w(N)=\aleph$.
Hernández, Salvador +2 more
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