Extreme Points, Exposed Points and Smooth Points of the Space LS(2l∞3)

DOI10.5666/KMJ.2020.60.3.485zbMath1476.46020OpenAlexW3096314149MaRDI QIDQ3388912

Sung Guen Kim

Publication date: 7 May 2021

Full work available at URL: http://kmj.knu.ac.kr/journal/view.html?uid=2421&vmd=Full

zbMATH Keywords

exposed pointsextreme pointssmooth pointssymmetric bilinear forms on \(\mathbb{R}^3 \) with the supremum norm

Mathematics Subject Classification ID

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

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Cites Work

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• Exposed 2-homogeneous polynomials on the two-dimensional real predual of Lorentz sequence space
• Unconditional constants and polynomial inequalities
• 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 \(\mathcal P(^2l^2_p)\) \((p=1,2,\infty)\)
• Extreme bilinear forms on \(\mathbb R^n\) with the supremum norm
• Geometry of 2-homogeneous polynomials on \(\ell _{p}\) spaces, 1\(< p < \infty\)
• Geometry of Banach spaces of trinomials
• Smooth Polynomials of <i>P</i>(²<i>D</i>_*(1, W)²)
• Exposed Symmetric Bilinear Forms of 𝓛_s(²d_*(1, ω)²)
• Geometry of homogeneous polynomials on non symmetric convex bodies
• Extreme integral polynomials on a complex Banach space
• Exposed 2-homogeneous polynomials on Hilbert spaces
• The unit ball of \(L_s(^2l_{\infty}^3)\)
• THE UNIT BALL OF L(²ℝ²_h(w))
• The Unit Ball of <TEX>$\mathcal{L}_s(^2d_*(1,w)^2)$</TEX>
• Extreme Bilinear Forms of <TEX>$\mathcal{L}(^2d_*(1,w)^2)$</TEX>
• Exposed Bilinear Forms of 𝓛(²d_*(1, w)²)
• Local properties of polynomials on a Banach space

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