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The natural rearrangement invariant structure on tensor products |
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| Authors: | C Fernández-González |
| Institution: | a Departamento de Algebra, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain |
| Abstract: | 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. |
| Keywords: | Crossnorms in tensor product Rearrangement invariant spaces _method=retrieve& _eid=1-s2 0-S0022247X0800036X& _mathId=si2 gif& _pii=S0022247X0800036X& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=47fef2fa2ffc344459f51f3f523f5c7f')" style="cursor:pointer Lp spaces" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Lp spaces |
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