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Amenability and Super-amenability of Some Feichtinger Algebras

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Abstract

Let G be a locally compact group (not necessarily abelian) and B be a homogeneous Banach space on G which is in a good situation with respect to a homogeneous function algebra \((A,\Vert .\Vert _{A})\) on G. Feichtinger showed that there exists a minimal Banach space \(B_{\rm{min}}\) in the family of all homogeneous Banach spaces C on G containing all elements of B with compact support. In this paper, we study the amenability and super-amenability of some Feichtinger algebras such as \(L^{p}(G)_{\rm{min}}, C_{0}(G)_{\rm{min}}\), \(A(G)_{\rm{min}}\), and \(B(G)_{\rm{min}}\).

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Acknowledgements

The authors would like to thank the Banach algebra center of Excellence for Mathematics, University of Isfahan.

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Authors and Affiliations

  1. Department of Mathematics, University of Isfahan, Isfahan, Iran

    Ali Rejali & Navid Sabzali

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  1. Ali Rejali
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  2. Navid Sabzali
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Correspondence to Ali Rejali.

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Rejali, A., Sabzali, N. Amenability and Super-amenability of Some Feichtinger Algebras. Iran J Sci Technol Trans Sci 44, 1101–1110 (2020). https://doi.org/10.1007/s40995-020-00907-2

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