Article ID Journal Published Year Pages File Type
4592177 Journal of Functional Analysis 2009 16 Pages PDF
Abstract

We prove a theorem of Dixmier and Malliavin type for analytic vectors of bounded representations of (R,+): Let (π,E) be a bounded representation of (R,+) in a Banach space E and let A be the convolution algebra of analytic vectors for the left regular representation of R on L1(R), then A∗A=A and π(A)E=Eω.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory