On holomorphic functions attaining their norms

DOI10.1016/j.jmaa.2004.04.010zbMath1086.46034OpenAlexW1971085477MaRDI QIDQ1883363

Jerónimo Alaminos, María D. Acosta, Domingo García, Manuel Maestre

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.010

zbMATH Keywords

polynomialholomorphic functionsLorentz sequence spacenorm attaining

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (15)

Numerical peak holomorphic functions on Banach spaces ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ On norm-attainment in (symmetric) tensor products ⋮ Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions ⋮ Weighted holomorphic mappings attaining their norms ⋮ A Bishop-Phelps-Bollobás theorem for bounded analytic functions ⋮ A variational approach to norm attainment of some operators and polynomials ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(L_1(\mu)\) to Banach spaces with the Radon-Nikodým property ⋮ Bounded holomorphic functions attaining their norms in the bidual ⋮ Denseness of norm-attaining mappings on Banach spaces ⋮ Denseness of holomorphic functions attaining their numerical radii ⋮ Generalized numerical index and denseness of numerical peak holomorphic functions on a Banach space ⋮ The Bishop-Phelps-Bollobás property for bilinear forms and polynomials ⋮ A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions

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• Weak-Star Continuous Analytic Functions
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
• EXTENSIONS OF POLYNOMIALS ON PREDUALS OF LORENTZ SEQUENCE SPACES
• Norm attaining operators

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