Polynomials, symmetric multilinear forms and weak compactness

DOI10.1007/S11117-004-8544-5zbMath1072.46014OpenAlexW2151759887MaRDI QIDQ1768347

Manuel Ruiz Galán

Publication date: 15 March 2005

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-004-8544-5

zbMATH Keywords

weak compactnessJames' weak compactness theoremnorm attaining polynomials and symmetric multilinear forms on a Banach space

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Compactness in Banach (or normed) spaces (46B50) Duality and reflexivity in normed linear and Banach spaces (46B10) Multilinear and polynomial operators (47H60)

Related Items (2)

James type results for polynomials and symmetric multilinear forms ⋮ Compactness, Optimality, and Risk

Cites Work

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• Norm attaining operators from \(L_1\) into \(L_\infty\)
• Norm attaining bilinear forms on \(L^ 1[0,1\)]
• Duality and reflexivity in spaces of polynomials
• There is no bilinear Bishop-Phelps theorem
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• A Version of James' Theorem for Numerical Radius
• On multilinear mappings attaining their norms.
• Holomorphic Germs on Tsirelson's Space
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
• Weakly Compact Sets

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