On Fourier algebra of a hypergroup constructed from a conditional expectation on a locally compact group

Authors

  • A. A. Kalyuzhnyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
  • G. B. Podkolzin National Technical University of Ukraine ”Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv, 03056, Ukraine
  • Yu. A. Chapovsky National Technical University of Ukraine ”Kyiv Polytechnic Institute”, 37 Prospect Peremogy, Kyiv, 03056, Ukraine

DOI:

Keywords:

Hypergroup, Fourier algebra, conditional expextation, comultiplication

Abstract

We prove that the Fourier space of a hypergroup constructed from a conditional expectation on a locally compact group has a Banach algebra structure.

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Published

2017-03-25

Issue

Vol. 23 No. 1 (2017)

Section

Articles

How to Cite

Kalyuzhnyi, A. A., et al. “On Fourier Algebra of a Hypergroup Constructed from a Conditional Expectation on a Locally Compact Group”. Methods of Functional Analysis and Topology, vol. 23, no. 1, Mar. 2017, pp. 37-50, https://zen.imath.kiev.ua/index.php/mfat/article/view/652.