Results 11 to 20 of about 669,567 (373)

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
doaj   +1 more source

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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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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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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Lattice of Idempotent States on a Locally Compact Quantum Group [PDF]

Publications of the Research Institute for Mathematical Sciences, 2018
We study lattice operations on the set of idempotent states on a locally compact quantum group corresponding to the operations of intersection of compact subgroups and forming the subgroup generated by two compact subgroups.
P. Kasprzak, P. Sołtan
semanticscholar   +1 more source

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 ...
Christian Terp, Karl H. Hofmann
openaire   +2 more sources

Locally compact sofic groups

Israel Journal of Mathematics, 2022
We introduce the notion of soficity for locally compact groups and list a number of open problems.
Bowen, Lewis, Burton, Peter
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Group-like projections for locally compact quantum groups [PDF]

Journal of operator theory, 2017
Let $\mathbb{G}$ be a locally compact quantum group. We give a 1-1 correspondence between group-like projections in $L^\infty(\mathbb{G})$ preserved by the scaling group and idempotent states on the dual quantum group $\widehat{\mathbb{G}}$.
R. Faal, P. Kasprzak
semanticscholar   +1 more source

Polyhomomorphisms of locally compact groups [PDF]

Sbornik: Mathematics, 2021
Abstract Let and be locally compact groups with fixed two-sided invariant Haar measures. A polyhomomorphism is a closed subgroup
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