Geometry of Banach spaces of trinomials

DOI10.1016/j.jmaa.2007.09.010zbMath1169.46006OpenAlexW2079379464MaRDI QIDQ2470500

Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.09.010

zbMATH Keywords

convexityextreme pointstrinomialspolynomial norms

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (18)

Unnamed Item ⋮ Unnamed Item ⋮ Extreme homogeneous trinomials on the unit square ⋮ Unnamed Item ⋮ Unnamed Item ⋮ EXTREME POINTS OF THE SPACE ( 2 ⋮ Sharp Bernstein inequalities using convex analysis techniques ⋮ The maximum modulus of a trigonometric trinomial ⋮ Extreme Points, Exposed Points and Smooth Points of the Space LS(2l∞3) ⋮ 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 \(L_s(^2l_{\infty}^3)\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The unit ball of the complex \({{\mathcal P}(^3H)}\) ⋮ Geometry of multilinear forms on ℝm with a certain norm ⋮ A complete study of the geometry of 2-homogeneous polynomials on circle sectors ⋮ Unconditional constants and polynomial inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• The maximum modulus of a trigonometric trinomial
• 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 \(\mathcal P(^2l^2_p)\) \((p=1,2,\infty)\)
• Geometry of three-homogeneous polynomials on real Hilbert spaces
• Geometry of homogeneous polynomials on two-dimensional real Hilbert spaces
• Geometry of 2-homogeneous polynomials on \(\ell _{p}\) spaces, 1\(< p < \infty\)
• Extreme 2-homogeneous polynomials on Hilbert spaces
• Extreme Points of the Unit Ball in a Space of Real Polynomials
• Supremum norms for quadratic polynomials
• Smooth 2-homogeneous polynomials on Hilbert spaces

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