REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L<sup>2</sup>(โ)
REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L<sup>2</sup>(โ)
The hyperbolic algebra [Formula: see text], studied recently by Katavolos and Power [5], is the weak star closed operator algebra on L 2 (โ) generated by H โ (โ), as multiplication operators, and by the dilation operators V t , tโฅ0, given by V t f(x)=e t/2 f(e t x). โฆ