Pseudo-contractibility of weighted Lp-Algebras

Abstract

Let G be a locally compact group, 1 < p < ∞ and let ω be a weight function on G. Recently, we introduced the Lebesgue weighted Lp-algebra L1ωp (G). Here, we establish necessary and sufficient con- ditions for L1ω,p (G) to be Φ-contractible, pseudo-contractible or con- tractible. Moreover we give some similar results about Lp(G, ω).