Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Convolutions on compact groups and Fourier algebras of coset spaces

Brian E. Forrest;  Ebrahim Samei;  Nico Spronk — 2010

Studia Mathematica

We study two related questions. (1) For a compact group G, what are the ranges of the convolution maps on A(G × G) given for u,v in A(G) by u × v ↦ u*v̌ (v̌(s) = v(s^-1)) and u × v ↦ u*v? (2) For a locally compact group G and a compact subgroup K, what are the amenability properties of the Fourier algebra of the coset space A(G/K)? The algebra A(G/K) was defined and studied by the first named author. In answering the first question, we obtain, for compact groups which do not...

Operator Segal algebras in Fourier algebras

Brian E. Forrest;  Nico Spronk;  Peter J. Wood — 2007

Studia Mathematica

Let G be a locally compact group, A(G) its Fourier algebra and L¹(G) the space of Haar integrable functions on G. We study the Segal algebra S¹A(G) = A(G) ∩ L¹(G) in A(G). It admits an operator space structure which makes it a completely contractive Banach algebra. We compute the dual space of S¹A(G). We use it to show that the restriction operator u ↦ u | H : S ¹ A ( G ) → A ( H ) , for some non-open closed subgroups H, is a surjective complete quotient map. We also show that if N is a non-compact closed subgroup, then the averaging...

Page 1

Download Results (CSV)