Square-integrable representations and multipliers
-
Gerhard Racher
Abstract
We observe a connection between the existence of square-integrable representations of a locally compact group G and the existence of nonzero translation invariant operators from its Fourier–Stieltjes algebra
Dedicated to Professor A. Kharazishvili on his 70th birthday
Acknowledgements
This article originated during the Workshop on “Measured Group Theory” at the Erwin Schrödinger International Institute for Mathematical Physics (ESI), Vienna 2016, and was the subject of a talk at the Winter School in Abstract Analysis, Svratka 2019, Czech Republic. It is a pleasure to thank the organizers of both.
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Articles in the same Issue
- Frontmatter
- On absolutely Baire nonmeasurable functions
- Existence of special rainbow triangles in weak geometries
- Images of Bernstein sets via continuous functions
- Square-integrable representations and multipliers
- Semigroups of pathological sets
- Points of density and ideals of subsets of ℕ
- On Kharazishvili type measures in infinite-dimensional Polish vector spaces
- Families of symmetric Cantor sets from the category and measure viewpoints
- On the Gitik–Shelah theorem
- On equidistant lines of given line configurations
- On convergence of sequences of functions possessing closed graphs
- On combinatorial and set-theoretical aspects of some finite and infinite point sets
- On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology
- Automorphism groups of mono-unary algebras and CH
- On topologies related to the extension of the Lebesgue measure
- An abstract formulation of a theorem of Sierpiński on the nonmeasurable sum of two measure zero sets
- Local affine selections of convex set-valued functions
- On orbits without the Baire property
- Mann iteration process for monotone nonexpansive mappings with a graph
- Mixing coded systems
- Methods of comparison of families of real functions in porosity terms
Articles in the same Issue
- Frontmatter
- On absolutely Baire nonmeasurable functions
- Existence of special rainbow triangles in weak geometries
- Images of Bernstein sets via continuous functions
- Square-integrable representations and multipliers
- Semigroups of pathological sets
- Points of density and ideals of subsets of ℕ
- On Kharazishvili type measures in infinite-dimensional Polish vector spaces
- Families of symmetric Cantor sets from the category and measure viewpoints
- On the Gitik–Shelah theorem
- On equidistant lines of given line configurations
- On convergence of sequences of functions possessing closed graphs
- On combinatorial and set-theoretical aspects of some finite and infinite point sets
- On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology
- Automorphism groups of mono-unary algebras and CH
- On topologies related to the extension of the Lebesgue measure
- An abstract formulation of a theorem of Sierpiński on the nonmeasurable sum of two measure zero sets
- Local affine selections of convex set-valued functions
- On orbits without the Baire property
- Mann iteration process for monotone nonexpansive mappings with a graph
- Mixing coded systems
- Methods of comparison of families of real functions in porosity terms
