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Multilinear Forms, Subsymmetric Polynomials, and Spreading Models on Banach Spaces

✍ Scribed by Raquel Gonzalo


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
195 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis


Some applications of Ramsey theory to the study of multilinear forms and polynomials on Banach spaces are given, related to the existence of lower l -estiq mates of sequences. We give an explicit representation of subsymmetric polynomials in Banach spaces with subsymmetric basis. Finally we apply our results to get approximation of polynomials by subsymmetric polynomials, and to the problem of stabilization of a certain chain of algebras generated by polynomials.