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Representations of the Orlicz Figà-Talamanca Herz algebras and Spectral Subspaces


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.


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Article Information

TitleRepresentations of the Orlicz Figà-Talamanca Herz algebras and Spectral Subspaces
SourceMethods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 169-178
DOIhttps://doi.org/10.31392/MFAT-npu26 2.2020.08
MilestonesReceived 19.11.2019; Revised 13.02.2020
CopyrightThe 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


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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},
       URL = {http://mfat.imath.kiev.ua/article/?id=1348},
}


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