Exposed 2-homogeneous polynomials on Hilbert spaces

DOI10.1090/S0002-9939-02-06544-9zbMath1029.46055OpenAlexW1930470909MaRDI QIDQ4779850

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Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06544-9

zbMATH Keywords

extreme pointexposed pointstrongly exposed point2-homogeneous polynomial

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)

Related Items (13)

Unnamed Item ⋮ Unnamed Item ⋮ Smooth 2-homogeneous polynomials on the plane with a hexagonal norm ⋮ Unnamed Item ⋮ Symmetric multilinear forms on Hilbert spaces: where do they attain their norm? ⋮ EXTREME POINTS OF THE SPACE ( 2 ⋮ 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 ⋮ The unit ball of \(L_s(^2l_{\infty}^3)\) ⋮ Geometry of multilinear forms on l_1 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Geometry of multilinear forms on ℝm with a certain norm

Cites Work

• Geometry of spaces of polynomials
• Extreme polynomials and multilinear forms on \(\ell_1\)
• The unit ball of \({\mathcal P}(^2\ell_2^2)\)
• Extreme integral polynomials on a complex Banach space
• Extreme 2-homogeneous polynomials on Hilbert spaces
• Geometric theory of spaces of integral polynomials and symmetric tensor products

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