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The natural rearrangement invariant structure on tensor products

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Fernández González, Carlos and Palazuelos Cabezón, Carlos and Pérez García, David (2008) The natural rearrangement invariant structure on tensor products. Journal of Mathematical Analysis and Applications, 343 (1). pp. 40-47. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X0800036X


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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.


Item Type:Article
Uncontrolled Keywords:Crossnorms in tensor product; Rearrangement invariant spaces; Lp spaces
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:17793
Deposited On:21 Jan 2013 11:18
Last Modified:04 Dec 2014 10:38

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