Sets of p-multiplicity in locally compact groups

• Autorzy: I. G. Todorov , L. Turowska
• Języki publikacji: EN

Abstrakty

EN

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 $E* = {(s,t) : ts^{-1} ∈ E}$ 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.

Kategorie tematyczne

• 47L05: Linear spaces of operators
• 22D25: C * -algebras and W * -algebras in relation to group representations
• 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 226
• Numer: 1
• Strony: 75-93

Daty

wydano

2015

Twórcy

autor

I. G. Todorov

• Pure Mathematics Research Centre, Queen's University Belfast, Belfast BT7 1NN, United Kingdom

autor

L. Turowska

• Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Gothenburg SE-412 96, Sweden

Identyfikatory

DOI

10.4064/sm226-1-4