Sets of $p$-multiplicity in locally compact groups
Studia Mathematica, Tome 226 (2015) no. 1, pp. 75-93
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We initiate the study of sets of $p$-multiplicity in locally compact groups and their operator versions. We show that a closed subset $E$ of a second countable locally compact group $G$ is a set of $p$-multiplicity if and only if $E^* = \{(s,t) : ts^{-1}\in E\}$ is a set of operator $p$-multiplicity. We exhibit examples of sets of $p$-multiplicity, establish preservation properties for unions and direct products, and prove a $p$-version of the Stone–von Neumann Theorem.
Keywords:
initiate study sets p multiplicity locally compact groups their operator versions closed subset second countable locally compact group set p multiplicity only * set operator p multiplicity exhibit examples sets p multiplicity establish preservation properties unions direct products prove p version stone von neumann theorem
Affiliations des auteurs :
I. G. Todorov 1 ; L. Turowska 2
@article{10_4064_sm226_1_4,
author = {I. G. Todorov and L. Turowska},
title = {Sets of $p$-multiplicity in locally compact groups},
journal = {Studia Mathematica},
pages = {75--93},
publisher = {mathdoc},
volume = {226},
number = {1},
year = {2015},
doi = {10.4064/sm226-1-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm226-1-4/}
}
I. G. Todorov; L. Turowska. Sets of $p$-multiplicity in locally compact groups. Studia Mathematica, Tome 226 (2015) no. 1, pp. 75-93. doi: 10.4064/sm226-1-4
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