Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592177 | Journal of Functional Analysis | 2009 | 16 Pages |
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.
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