On the polynomial Lindenstrauss theorem

DOI10.1016/j.jfa.2012.06.014zbMath1258.46017arXiv1206.3218OpenAlexW2021164321MaRDI QIDQ715615

Silvia Lassalle, Daniel Carando, Martin Mazzitelli

Publication date: 31 October 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3218

zbMATH Keywords

integral formulaBishop-Phelps theoremLindenstrauss type theorems\(n\)-homogeneous polynomialnorm attaining multilinear and polynomials mappings

Mathematics Subject Classification ID

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

Related Items (4)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ On norm-attainment in (symmetric) tensor products ⋮ Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions ⋮ A note on numerical radius attaining mappings

Cites Work

• The Bishop-Phelps-Bollobás theorem for operators
• Denseness of norm-attaining mappings on Banach spaces
• Geometry in preduals of spaces of 2-homogeneous polynomials on Hilbert spaces
• The Bishop-Phelps-Bollobás theorem fails for bilinear forms on \(l_{1}\times l_{1}\)
• Norm attaining operators from \(L_1\) into \(L_\infty\)
• Norm attaining bilinear forms on \(L^ 1[0,1\)]
• On norm attaining polynomials.
• There is no bilinear Bishop-Phelps theorem
• On operators which attain their norm
• A multilinear Lindenstrauss theorem
• A proof that every Banach space is subreflexive
• A Hahn-Banach extension theorem for analytic mappings
• A Theorem on Polynomial-Star Approximation
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
• An integral duality formula
• An Extension to the Theorem of Bishop and Phelps
• The Adjoint of a Bilinear Operation
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