Extreme polynomials and multilinear forms on \(\ell_1\)

DOI10.1006/jmaa.1998.6161zbMath0922.46042OpenAlexW2090113024MaRDI QIDQ1276360

Yun Sung Choi, Haseo Ki, Sung Guen Kim

Publication date: 14 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6161

zbMATH Keywords

polynomials on Banach spacesstrongly extreme points

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (21)

Equivalent norms in polynomial spaces and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extreme homogeneous trinomials on the unit square ⋮ Smooth 2-homogeneous polynomials on the plane with a hexagonal norm ⋮ Unnamed Item ⋮ EXTREME POINTS OF THE SPACE ( 2 ⋮ Extreme Points, Exposed Points and Smooth Points of the Space LS(2l∞3) ⋮ Properties of symmetric matrices ⋮ Exposed 2-homogeneous polynomials on the two-dimensional real predual of Lorentz sequence space ⋮ Geometry of spaces of homogeneous trinomials on \(\mathbb{R}^2\) ⋮ The unit ball of \(L_s(^2l_{\infty}^3)\) ⋮ Geometry of multilinear forms on l_1 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Where do homogeneous polynomials on \(\ell_{1}^{n}\) attain their norm? ⋮ The unit ball of the complex \({{\mathcal P}(^3H)}\) ⋮ Geometry of multilinear forms on ℝm with a certain norm ⋮ Unconditional constants and polynomial inequalities ⋮ Geometry of 2-homogeneous polynomials on \(\ell _{p}\) spaces, 1\(< p < \infty\) ⋮ Exposed 2-homogeneous polynomials on Hilbert spaces

Cites Work

• Polynomials in many variables: Real vs complex norms
• Norm attaining bilinear forms on \(L^ 1[0,1\)]
• Multilinear forms, subsymmetric polynomials, and spreading models on Banach spaces
• Holomorphic Mappings on l 1
• Supremum norms for quadratic polynomials
• Unnamed Item
• Unnamed Item

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