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Advances in Pure and Applied Mathematics

Editor-in-Chief: Trimeche, Khalifa

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1869-6090
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Multi-norm structure based on enveloping 𝐶-algebras

Marzieh Shams Yousefi
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  • Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
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Published Online: 2018-12-19 | DOI: https://doi.org/10.1515/apam-2018-0150

Abstract

A non-trivial multi-norm structure based on the enveloping C*-algebras will be discussed in this paper. The main example is group C*-algebras on compact groups. Also a (generalizing) non-trivial multi-norm structure based on the Fourier and Fourier–Stieltjes algebras on compact groups will be given.

Keywords: Multi-norm; decomposition property; Fourier algebras; Fourier–Stieltjes algebras

MSC 2010: 47L10; 46L45

References

  • [1]

    H. G. Dales, Multi–norms, Acta Comment. Univ. Tartu. Math. 18 (2014), no. 1, 159–184. Google Scholar

  • [2]

    H. G. Dales, M. Daws, H. L. Pham and P. Ramsden, Multi-norms and the injectivity of Lp(G), J. Lond. Math. Soc. (2) 86 (2012), 779–809. Google Scholar

  • [3]

    H. G. Dales and M. Polyakov, Multi-normed spaces, Dissertationes Math. (Rozprawy Mat.) 488 (2012), 1–165. CrossrefGoogle Scholar

  • [4]

    P. Eymard, L’algèbre de Fourier d’un groupe localment compact, Bull. Soc. Math. France 92 (1964), 181–236. Google Scholar

  • [5]

    J. B. Foland, A Course in Abstract Harmonic Analysis, CRC Press, Boca Raton, 1995. Google Scholar

  • [6]

    P. Harmand, D. Werner and W. Werner, M-Ideals in Banach Spaces and Banach Algebras, Lecture Notes in Math. 1547, Springer, Berlin, 1993. Google Scholar

  • [7]

    P. Ramsden, Homological properties of semigroup algebras, Ph.D. thesis, Leeds University, 2009. Google Scholar

  • [8]

    D. P. Williams, Crossed Products of C*-algebras, Math. Surveys Monogr. 134, American Mathematical Society, Providence, 2007. Google Scholar

About the article

Received: 2018-09-10

Revised: 2018-11-26

Accepted: 2018-12-04

Published Online: 2018-12-19


Citation Information: Advances in Pure and Applied Mathematics, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam-2018-0150.

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