On Beurling measure algebras

Ross Stokke

Commentationes Mathematicae Universitatis Carolinae (2022)

  • Volume: 62 63, Issue: 2, page 169-187
  • ISSN: 0010-2628

Abstract

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We show how the measure theory of regular compacted-Borel measures defined on the δ -ring of compacted-Borel subsets of a weighted locally compact group ( G , ω ) provides a compatible framework for defining the corresponding Beurling measure algebra ℳ ( G , ω ) , thus filling a gap in the literature.

How to cite

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Stokke, Ross. "On Beurling measure algebras." Commentationes Mathematicae Universitatis Carolinae 62 63.2 (2022): 169-187. <http://eudml.org/doc/298503>.

@article{Stokke2022,
abstract = {We show how the measure theory of regular compacted-Borel measures defined on the $\delta $-ring of compacted-Borel subsets of a weighted locally compact group $(G,\omega )$ provides a compatible framework for defining the corresponding Beurling measure algebra $\{\mathcal \{M\}\}(G,\omega )$, thus filling a gap in the literature.},
author = {Stokke, Ross},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weighted locally compact group; group algebra; measure algebra; Beurling algebra},
language = {eng},
number = {2},
pages = {169-187},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On Beurling measure algebras},
url = {http://eudml.org/doc/298503},
volume = {62 63},
year = {2022},
}

TY - JOUR
AU - Stokke, Ross
TI - On Beurling measure algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2022
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62 63
IS - 2
SP - 169
EP - 187
AB - We show how the measure theory of regular compacted-Borel measures defined on the $\delta $-ring of compacted-Borel subsets of a weighted locally compact group $(G,\omega )$ provides a compatible framework for defining the corresponding Beurling measure algebra ${\mathcal {M}}(G,\omega )$, thus filling a gap in the literature.
LA - eng
KW - weighted locally compact group; group algebra; measure algebra; Beurling algebra
UR - http://eudml.org/doc/298503
ER -

References

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