Affiliation:
1. Department of Mathematics and Statistics, Lancaster University, LA1 4YF, England
Abstract
The hyperbolic algebra [Formula: see text], studied recently by Katavolos and Power [5], is the weak star closed operator algebra on L2(ℝ) generated by H∞(ℝ), as multiplication operators, and by the dilation operators Vt, t≥0, given by Vtf(x)=et/2f(etx). We show that [Formula: see text] is a reflexive operator algebra and that the four-dimensional manifold [Formula: see text] (with the natural topology) is the reflexive hull of a natural two-dimensional subspace.
Publisher
World Scientific Pub Co Pte Lt
Cited by
7 articles.
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