Spaceability in Banach Spaces Related to Locally Compact Groups

Author(s):

Seyyed Mohammad Tabatabaei , Mohammad Fozouni *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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

Language:
Persian
Published:
Journal of Mathematical Researches, Volume:7 Issue: 3, 2022
Pages:
607 to 616
https://www.magiran.com/p2382721