Isometric multipliers
Stephen Parrott · Pacific Journal of Mathematics · 1968
Let G be a locally compact group with right Haar measure.A left multiplier on L V {G) is a bounded operator which commutes with all the operators induced by left translations.The main theorem of this paper states that every isometric left multiplier on L P (G) for l^p,pΦ2, is a scalar multiple of an operator induced by a right translation.