Abstract
Let $G$ be a locally compact group. In this note, we characterise non-degenerate $*$-representations of $A_\Phi(G)$ and $B_\Phi(G).$ We also study spectral subspaces associated to a non-degenerate Banach space representation of $A_\Phi(G).$
Key words: Orlicz Figà-Talamanca Herz algebra, representation, spectral subspaces.
Full Text
Article Information
| Title | Representations of the Orlicz Figà-Talamanca Herz algebras and Spectral Subspaces |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 169-178 |
| DOI | 10.31392/MFAT-npu26_2.2020.08 |
| MathSciNet |
MR4127613 |
| Milestones | Received 19.11.2019; Revised 13.02.2020 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Rattan Lal
Department of Mathematics, Indian Institute of Technology Delhi, Delhi, 110016, India
N. Shravan Kumar
Department of Mathematics, Indian Institute of Technology Delhi, Delhi, 110016, India
Citation Example
Rattan Lal and N. Shravan Kumar, Representations of the Orlicz Figà-Talamanca Herz algebras and Spectral Subspaces, Methods Funct. Anal. Topology 26
(2020), no. 2, 169-178.
BibTex
@article {MFAT1348,
AUTHOR = {Rattan Lal and N. Shravan Kumar},
TITLE = {Representations of the Orlicz Figà-Talamanca Herz algebras and Spectral Subspaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {2},
PAGES = {169-178},
ISSN = {1029-3531},
MRNUMBER = {MR4127613},
DOI = {10.31392/MFAT-npu26_2.2020.08},
URL = {http://mfat.imath.kiev.ua/article/?id=1348},
}
