Geometry in preduals of spaces of 2-homogeneous polynomials on Hilbert spaces

DOI10.1007/s00605-008-0017-7zbMath1180.46011OpenAlexW1977964735MaRDI QIDQ1024218

Domingo García, Bogdan C. Grecu, Manuel Maestre

Publication date: 16 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://pure.qub.ac.uk/ws/files/501842/Monatshefte-GarciaGrecuMaestre.pdf

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (2)

On the polynomial Lindenstrauss theorem ⋮ The unit ball of the complex \({{\mathcal P}(^3H)}\)

Cites Work

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• A geometric function determined by extreme points of the unit ball of a normed space
• Linearization of functions
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• Tensor products of direct sums
• Limit orders and multilinear forms on \(\ell_p\) spaces
• A multilinear Lindenstrauss theorem
• Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces
• 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
• Local properties of polynomials on a Banach space

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