Volume 7, Issue 3 (Vol.7, No.3, 2021)
mmr 2021, 7(3): 607-616 |
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Tabatabaei S M, Fozouni M. Spaceability in Banach Spaces Related to Locally Compact Groups. mmr 2021; 7 (3) :607-616
URL: http://mmr.khu.ac.ir/article-1-2914-en.html
URL: http://mmr.khu.ac.ir/article-1-2914-en.html
1- Dep. of Mathematics
2- Dep. of Mathematics , fozouni@hotmail.com
2- Dep. of Mathematics , fozouni@hotmail.com
Abstract: (719 Views)
In this paper, for a locally compact group and a fixed number , we give some sufficient conditions for the set to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier algebra . Finally, we give some necessary and sufficient conditions for a locally compact group to be compact or discrete.
Keywords: Spaceability, Lebesgue space, Fourier algebra, Lebesgue-Fourier algebra, Locally compact group.
Type of Study: S |
Subject:
alg
Received: 2019/02/19 | Revised: 2022/05/7 | Accepted: 2020/04/18 | Published: 2021/12/1 | ePublished: 2021/12/1
Received: 2019/02/19 | Revised: 2022/05/7 | Accepted: 2020/04/18 | Published: 2021/12/1 | ePublished: 2021/12/1
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