Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula

DOI10.1080/03081087.2019.1634672OpenAlexW2950362145WikidataQ127628001 ScholiaQ127628001MaRDI QIDQ5005275

Thiago Velanga

Publication date: 9 August 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04703

zbMATH Keywords

multilinear mappingshomogeneous polynomialsmultipolynomials\(k,m\)-linear mappings

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) (Spaces of) multilinear mappings, polynomials (46G25) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Multilinear and polynomial operators (47H60) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (3)

The linearization method for ideals of multipolynomials ⋮ Lower bounds for the constants in the real multipolynomial Bohnenblust-Hille inequality ⋮ Multipolynomials: an almost symmetrical approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On composition ideals of multilinear mappings and homogeneous polynomials
• Generalization of the polarization formula for nonhomogeneous polynomials and analytic mappings on Banach spaces
• Linearization of multipolynomials and applications
• A Gale-Berlekamp permutation-switching problem in higher dimensions
• On summability of multilinear operators and applications
• On the Bohnenblust-Hille inequality for multilinear forms
• On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility
• Extendibility of homogeneous polynomials on Banach spaces
• The Optimal Multilinear Bohnenblust–Hille Constants: A Computational Solution for the Real Case
• Ideals of polynomials between Banach spaces revisited
• Classical and Multilinear Harmonic Analysis
• Geometry of multilinear forms

This page was built for publication: Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula