Analysis Seminar

Jorge Galindo, Universitat Jaume I

"\ell_1-sequences and Arens regularity of the Fourier algebra"

The Fourier algebra A(G) of a locally compact Abelian group G is the algebra of functions on G whose Fourier transforms are integrable on the dual group \widehat{G}. When G is not commutative, the definition of A(G) is more sophisticated and produces an often intriguing Banach Algebra that has interest from the perspectives of Harmonic Analysis and Operator Theory.

In this talk, I will be concerned with the existence of some special classes of l1-sequences in A(G) and their impact on the regularity of the Arens product on the bidual of A(G).

MC 5417