Results 61 to 70 of about 668,948 (189)
The predual of the space of convolutors on a locally compact group
Bulletin of the Australian Mathematical Society, 1998 Let Cvp(G) be the space of convolution operators on the Lebesgue space LP(G), for an arbitrary locally compact group G. We describe Cvp(G) as a dual space, whose predual, is a Banach algebra of functions on G, under pointwise operations, with maximal ...
M. Cowling
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Locally Compact Contractive Local Groups [PDF]
arXiv, 2009 We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally ...
arxiv
ERGODIC PROPERTIES OF AUTOMORPHISMS OF A LOCALLY COMPACT GROUP
, 1966 The following remark is made by Halmos in his book [2, p. 29]. "Can an automorphism of a locally compact but noncompact group be an ergodic measure preserving transformation? Nothing is known about this subject. Only in the compact case has anything ever
M. Rajagopalan
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Topological groups: local versus global
Applied General Topology, 2006 It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients.
A.V. Arhangelskii, Vladimir V. Uspenskij
doaj +1 more source
On groups with locally compact asymptotic cones [PDF]
arXiv, 2013 We show how a recent result of Hrushovsky implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent.
arxiv
On a duality for C * -crossed products by a locally compact group
, 1978 . Let $(\mathfrak{A}, G, \alpha)$ be a $C^{*}$ -dynamical system, and $C_{r}^{*}(\mathfrak{A};\alpha)$ the reduced $C^{*}-$ crossed product of $\mathfrak{A}$ by $\alpha$ . We construct product $C_{d}^{*}(C_{r}^{*}(\mathfrak{A} ; \alpha);\beta)$ of $C_{r}^
Shogo Imai, H. Takai
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Compactness in Wiener amalgams on locally compact groups
International Journal of Mathematics and Mathematical Sciences, 2003 We study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group.
S. S. Pandey
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Topological entropy for automorphisms of totally disconnected locally compact groups [PDF]
arXiv, 2014 We give a "limit-free formula" simplifying the computation of the topological entropy for topological automorphisms of totally disconnected locally compact groups. This result allows us to extend several basic properties of the topological entropy known to hold for compact groups.
arxiv
, 1986 The purpose of this note is to prove that if G is an amenable locally compact noncompact group, then the set of topological left invariant means on Lo(G) has cardinality 22, where d is the smallest cardinality of the covering of G by compact sets.
A. Lau, A. Paterson
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Fixed Point Theory and Applications, 2010 In 1965, Kirk proved that if C is a nonempty weakly compact convex subset of a Banach space with normal structure, then every nonexpansive mapping T:C→C has a fixed point. The purpose of this paper is to outline various generalizations of Kirk'
Anthony To-Ming Lau
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