6533b870fe1ef96bd12cf989

RESEARCH PRODUCT

The surjective hull of a polynomial ideal

Sonia BerriosGeraldo BotelhoPilar Rueda

subject

Discrete mathematicsPolynomialPure mathematicsIdeal (set theory)Mathematics::Commutative AlgebraGeneral Mathematics010102 general mathematicsBanach spaceComposition (combinatorics)01 natural sciences010101 applied mathematicsSurjective functionHomogeneousHull0101 mathematicsMathematics

description

The aim of this paper is the study of surjective ideals of homogeneous polynomials between Banach spaces. To do so we define the surjective hull of a polynomial ideal and prove the main properties of this hull procedure. For a more comprehensive theory, new lifting properties of homogeneous polynomials are proved and applied to the description of the surjective hulls of the ideals of I-bounded polynomials and of composition polynomials ideals. Several applications are provided.

yearjournalcountryeditionlanguage
2016-10-25Mathematische Nachrichten
https://doi.org/10.1002/mana.201600118