A complete study of the geometry of 2-homogeneous polynomials on circle sectors

DOI10.1007/s13398-020-00892-6zbMath1475.46042OpenAlexW3037504906MaRDI QIDQ783251

D. L. Rodríguez-Vidanes, Gustavo A. Muñoz-Fernández, Luis Bernal-González, Juan B. Seoane-Sepúlveda

Publication date: 12 August 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00892-6

zbMATH Keywords

extreme point3-dimensional real normed vector spacespace of 2-homogeneous polynomialssupremum norm on a nonsymmetric convex set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) (Spaces of) multilinear mappings, polynomials (46G25) Banach spaces of continuous, differentiable or analytic functions (46E15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Extreme homogeneous trinomials on the unit square ⋮ An inequality for polynomials on the standard simplex ⋮ Unnamed Item ⋮ Geometry of spaces of homogeneous trinomials on \(\mathbb{R}^2\)

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