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RESEARCH PRODUCT

Pietsch's factorization theorem for dominated polynomials

Pilar RuedaDaniel PellegrinoGeraldo Botelho

subject

Discrete mathematicsPolynomialBanach spaceTensor product of Hilbert spacesDominated polynomialsAbsolutely summing linear operatorsSymmetric tensor productsymbols.namesakeSymmetric polynomialFactorization of polynomialsHomogeneous polynomialWeierstrass factorization theoremsymbolsElementary symmetric polynomialAnalysisMathematics

description

Abstract We prove that, like in the linear case, there is a canonical prototype of a p -dominated homogeneous polynomial through which every p -dominated polynomial between Banach spaces factors.

yearjournalcountryeditionlanguage
2007-02-01Journal of Functional Analysis
https://doi.org/10.1016/j.jfa.2006.10.001