%0 Journal Article %A Fernández González, Carlos %A Palazuelos Cabezón, Carlos %A Pérez García, David %T The natural rearrangement invariant structure on tensor products %D 2008 %@ 0022-247X %U https://hdl.handle.net/20.500.14352/50306 %X We prove that the only rearrangement invariant (r.i.) spaces for which there exists a crossnorm verifying that the tensor product of these spaces preserves the "natural" r.i. space structure, in the sense that it makes the multiplication operator B a topological isomorphism, are the Lp spaces. %~