Publication

Schauder bases for symmetric tensor products

Grecu, Bogdan C.
; 
Ryan, Raymond A.
Identifiers
http://hdl.handle.net/10379/9242
https://doi.org/10.13025/24573
Repository DOI
10.2977/prims/1145475364
Publication Date
2005-01-01
Keywords
schauder basis, tensor product, banach-spaces
Type
Article
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Citation
Grecu, Bogdan C. Ryan, Raymond A. (2005). Schauder bases for symmetric tensor products. Publications of the Research Institute for Mathematical Sciences 41 (2), 459-469
Abstract
For a Banach space E with Schauder basis, we prove that the n fold symmetric tenser product (x) over cap (n)(mu,),E-s has a Schauder basis for all symmetric uniform crossnorms mu. This is done by modifying the square ordering on N-n and showing that the new ordering gives tensor product bases in both (x) over cap E-n(mu) and (x) over cap (n)(mu),E-s.
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Publisher
European Mathematical Publishing House
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Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)