Search results for "Factorization of polynomials"

showing 3 items of 3 documents

Factorization of absolutely continuous polynomials

2013

In this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal. Our factorization theorem requires new techniques inspired in the theory of Banach lattices.

Discrete mathematicsMathematics::Commutative AlgebraPietsch's domination theoremApplied MathematicsDiscrete orthogonal polynomialsClassical orthogonal polynomialsMacdonald polynomialsDifference polynomialsAbsolutely continuous polynomialsFactorization of polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsMATEMATICA APLICADAAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Pietsch's factorization theorem for dominated polynomials

2007

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.

Discrete mathematicsPolynomialBanach spaceTensor product of Hilbert spacesDominated polynomialsAbsolutely summing linear operatorsSymmetric tensor productsymbols.namesakeSymmetric polynomialFactorization of polynomialsHomogeneous polynomialWeierstrass factorization theoremsymbolsElementary symmetric polynomialAnalysisMathematicsJournal of Functional Analysis
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Multialternating graded polynomials and growth of polynomial identities

2012

Let G be a finite group and A a finite dimensional G-graded algebra over a field of characteristic zero. When A is simple as a G-graded algebra, by mean of Regev central polynomials we construct multialternating graded polynomials of arbitrarily large degree non vanishing on A. As a consequence we compute the exponential rate of growth of the sequence of graded codimensions of an arbitrary G-graded algebra satisfying an ordinary polynomial identity. In particular we show it is an integer. The result was proviously known in case G is abelian.

Discrete mathematicsPure mathematicsHilbert series and Hilbert polynomialMathematics::Commutative AlgebraApplied MathematicsGeneral MathematicsMathematics::Rings and AlgebrasGraded ringMathematics - Rings and AlgebrasGraded Lie algebramultialternating polynomialFiltered algebrasymbols.namesakeReciprocal polynomialRings and Algebras (math.RA)Differential graded algebraFactorization of polynomialssymbolsFOS: MathematicsElementary symmetric polynomial16R50 16P90 16R10 16W50Mathematics
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