Title of article
The natural rearrangement invariant structure on tensor products
Author/Authors
C. Fern?ndez-Gonz?lez، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
40
To page
47
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.
© 2008 Elsevier Inc. All rights reserved
Keywords
Crossnorms in tensor product , Rearrangement invariant spaces , Lp spaces
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937079
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