Abstract:We give a full characterization of normability of Lorentz spaces $\Gamma_{w}^{p}$. This result is in fact known since it can be derived from Kami\'nska A., Maligranda~L., {\it On Lorentz spaces\/}, Israel J. Funct. Anal. {\bf 140} (2004), 285--318. In this paper we present an alternative and more direct proof.
Keywords: Lorentz space; weight; normability
DOI: DOI 10.14712/1213-7243.2015.149
AMS Subject Classification: 46E30