Geometry of three-homogeneous polynomials on real Hilbert spaces

DOI10.1006/jmaa.2000.6783zbMath0960.46031OpenAlexW2049531733MaRDI QIDQ1577978

Bogdan C. Grecu

Publication date: 14 May 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6783

zbMATH Keywords

extreme pointgeometry of spaces of homogeneous polynomials on a Banach spacesmooth and extreme 2-homogeneous polynomials

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25)

Related Items (15)

Equivalent norms in polynomial spaces and applications ⋮ Extreme homogeneous trinomials on the unit square ⋮ Unnamed Item ⋮ EXTREME POINTS OF THE SPACE ( 2 ⋮ Sharp Bernstein inequalities using convex analysis techniques ⋮ Geometry of Banach spaces of trinomials ⋮ Semidefinite extreme points of the unit ball in a polynomial space ⋮ Exposed 2-homogeneous polynomials on the two-dimensional real predual of Lorentz sequence space ⋮ Geometry of spaces of homogeneous trinomials on \(\mathbb{R}^2\) ⋮ Where do homogeneous polynomials on \(\ell_{1}^{n}\) attain their norm? ⋮ Geometry of homogeneous polynomials on two-dimensional real Hilbert spaces ⋮ 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 ⋮ Geometry of 2-homogeneous polynomials on \(\ell _{p}\) spaces, 1\(< p < \infty\)

Cites Work

• Geometry of spaces of polynomials
• The unit ball of \({\mathcal P}(^2\ell_2^2)\)
• Unnamed Item
• Unnamed Item
• Unnamed Item

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