On Composition Ideals of Multilinear Mappings and Homogeneous Polynomials

6533b856fe1ef96bd12b24df

RESEARCH PRODUCT

On Composition Ideals of Multilinear Mappings and Homogeneous Polynomials

Pilar Rueda Geraldo Botelho Daniel Pellegrino

subject

Discrete mathematics Pure mathematics Polynomial Multilinear map Ideal (set theory)Mathematics::Commutative Algebra General Mathematics Composition (combinatorics)Connection (mathematics)symbols.namesake Von Neumann algebra Homogeneous symbols Symmetric tensor Mathematics

description

Given an operator ideal I, we study the multi-ideal I ο L and the polynomial ideal I ο P). The connection with the linearizations of these mappings on projective symmetric tensor products is investigated in detail. Applications to the ideals of strictly singular and absolutely summing linear operators are obtained.

year	journal	country	edition	language
2007-01-01	Publications of the Research Institute for Mathematical Sciences

https://doi.org/10.2977/prims/1201012383

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