Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

DOI10.17398/2605-5686.37.2.243MaRDI QIDQ6177892

Sung Guen Kim

Publication date: 18 January 2024

Published in: Extracta Mathematicae (Search for Journal in Brave)

zbMATH Keywords

extreme pointsKrein-Milman theoremsmooth points2-homogeneous polynomials on the plane with the hexagonal norm

Mathematics Subject Classification ID

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

Cites Work

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• Exposed 2-homogeneous polynomials on the two-dimensional real predual of Lorentz sequence space
• The unit ball of the complex \({{\mathcal P}(^3H)}\)
• Geometry of spaces of polynomials
• Extreme polynomials and multilinear forms on \(\ell_1\)
• Extreme polynomials on \(c_0\)
• The unit ball of \({\mathcal P}(^2\ell_2^2)\)
• Smooth points of the unit ball of the space \({\mathcal P}(^2\ell_1)\)
• Exposed points of the unit balls of the spaces \(\mathcal P(^2l^2_p)\) \((p=1,2,\infty)\)
• Smooth Polynomials of <i>P</i>(²<i>D</i>_*(1, W)²)
• POLARIZATION AND UNCONDITIONAL CONSTANTS OF 𝓟(²d_*(1,ω)²)
• Geometry of homogeneous polynomials on non symmetric convex bodies
• Extreme 2-homogeneous polynomials on the plane with a hexagonal norm and applications to the polarization and unconditional constants
• Exposed 2-homogeneous polynomials on Hilbert spaces
• Supremum norms for quadratic polynomials

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