Spaceability in Banach Spaces Related to Locally Compact Groups

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.