On the isometries of the Lorentz function spaces


Let T be an (into linear) isometry on a (real or complex) Lorentz function space L w,p,1≤p<∞. We show that if f and g have disjoint support, then T f and T g also have disjoint support. Using this result, we give a characterization of the isometries of L w,p. © 1993 The Magnes Press.

Publication Title

Israel Journal of Mathematics