Results 1 to 10 of about 26,229 (312)
Locally compact quantum groups [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2000 Summary: We propose a simple definition of a locally compact quantum group in reduced form. By the word `reduced' we mean that we suppose the Haar weight to be faithful. So in fact we define and study an arbitrary locally compact quantum group, represented on the \(L^2\)-space of its Haar weight.
Kustermans, Johan, Vaes, Stefaan
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On the homomorphisms of locally compact groups [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper, we establish a conjugacy theorem of homomorphisms of a locally compact connected semisimple group into a locally compact group.
D. H. Lee
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Homogeneous Locally Compact Groups
Journal of Algebra, 1998 Motivated by their occurrence in topological geometry, the author studies locally compact groups that are homogeneous in the sense that their automorphism group acts transitively on the non-identity elements. The main results say that compact homogeneous groups are precisely the arbitrary powers of cyclic groups of prime order (with product topology ...
Stroppel, Markus
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Actions of a Locally Compact Group with Zero
Canadian Journal of Mathematics, 1971 In [2] we find the definition of a locally compact group with zero as a locally compact Hausdorff topological semigroup, S, which contains a non-isolated point, 0, such that G = S – {0} is a group. Hofmann shows in [2] that 0 is indeed a zero for S, G is a locally compact topological group, and the unit, 1, of G is the unit of S.
T. H. McH. Hanson
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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we introduce a convolution-type product for strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
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VARIABLE LEBESGUE ALGEBRA ON A LOCALLY COMPACT GROUP
Проблемы анализа, 2023 For a locally compact group 𝐻 with a left Haar measure, we study the variable Lebesgue algebra L^(p(.))(𝐻) with respect to convolution. We show that if L^(p(.))(𝐻) has a bounded exponent, then it contains a left approximate identity.
P. Saha, B. Hazarika
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Automorphisms of locally compact groups [PDF]
Pacific Journal of Mathematics, 1978 It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
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Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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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 ...
Hofmann, Karl H., Terp, Christian
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