On the isometries of the Lorentz function spaces
Abstract
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
Recommended Citation
Carothers, N., Haydon, R., & Lin, P. (1993). On the isometries of the Lorentz function spaces. Israel Journal of Mathematics, 84 (2022-01-02), 265-287. https://doi.org/10.1007/BF02761703
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