On norm attaining polynomials.
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Publication:1873651
DOI10.2977/prims/1145476151zbMath1035.46005OpenAlexW1966003431MaRDI QIDQ1873651
Manuel Maestre, Domingo García, Richard Martin Aron
Publication date: 2003
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1145476151
Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)
Related Items (15)
The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Norm-attaining lattice homomorphisms ⋮ Projecting Lipschitz functions onto spaces of polynomials ⋮ Several remarks on norm attainment in tensor product spaces ⋮ Weighted holomorphic mappings attaining their norms ⋮ A note on numerical radius attaining mappings ⋮ Weak-star quasi norm attaining operators ⋮ Norm attaining Arens extensions on \(\ell_1\) ⋮ Bounded holomorphic functions attaining their norms in the bidual ⋮ Denseness of norm-attaining mappings on Banach spaces ⋮ A multilinear Lindenstrauss theorem ⋮ On the polynomial Lindenstrauss theorem ⋮ Reflexivity and nonweakly null maximizing sequences ⋮ The Bishop-Phelps-Bollobás property for bilinear forms and polynomials ⋮ Norm-attaining tensors and nuclear operators
Cites Work
- Norm attaining operators from \(L_1\) into \(L_\infty\)
- Norm attaining bilinear forms on \(L^ 1[0,1\)]
- There is no bilinear Bishop-Phelps theorem
- On operators which attain their norm
- A proof that every Banach space is subreflexive
- A Hahn-Banach extension theorem for analytic mappings
- On multilinear mappings attaining their norms.
- A Theorem on Polynomial-Star Approximation
- Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
- The Adjoint of a Bilinear Operation
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