Where do homogeneous polynomials on \(\ell_{1}^{n}\) attain their norm?

DOI10.1016/j.jat.2004.01.001zbMath1077.46044OpenAlexW2164694003WikidataQ59474405 ScholiaQ59474405MaRDI QIDQ1826871

David Pérez-García, Ignacio Villanueva

Publication date: 6 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.01.001

zbMATH Keywords

extreme pointshomogeneous polynomialverticesfacesnorm attainment

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (3)

Orthant probabilities and the attainment of maxima on a vertex of a simplex ⋮ A probabilistic approach to polynomial inequalities ⋮ On the measure of polynomials attaining maxima on a vertex

Cites Work

• Unnamed Item
• Polynomials in many variables: Real vs complex norms
• Extreme polynomials and multilinear forms on \(\ell_1\)
• The unit ball of \({\mathcal P}(^2\ell_2^2)\)
• Geometry of three-homogeneous polynomials on real Hilbert spaces
• Geometry of 2-homogeneous polynomials on \(\ell _{p}\) spaces, 1\(< p < \infty\)
• Smooth 2-homogeneous polynomials on Hilbert spaces

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