Norm or numerical radius attaining polynomials on \(C(K\))

DOI10.1016/j.jmaa.2004.03.005zbMath1059.46026OpenAlexW2039985375MaRDI QIDQ1876704

Yun Sung Choi, Manuel Maestre, Domingo García, Sung Guen Kim

Publication date: 20 August 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.2004.03.005

zbMATH Keywords

dimensionpolynomials\(C(K)\)norm attainingnumerical radius attaining

Mathematics Subject Classification ID

Compactness (54D30) (Spaces of) multilinear mappings, polynomials (46G25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Isometric theory of Banach spaces (46B04)

Related Items (12)

NA(ℒ (nl1 : l1)) = NRA(ℒ (nl1 : l1)) ⋮ The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ On holomorphic functions attaining their norms ⋮ Some class of numerical radius peak \(n\)-linear mappings on \(l_p\)-spaces ⋮ Boundaries for algebras of holomorphic functions on Marcinkiewicz sequence spaces ⋮ On boundaries on the predual of the Lorentz sequence space ⋮ Numerical radius points of a bilinear mapping from the plane with the l1-norm into itself ⋮ Unnamed Item ⋮ Denseness of holomorphic functions attaining their numerical radii ⋮ Boundaries for spaces of holomorphic functions on \({\mathcal C}(K)\) ⋮ Numerical boundaries for some classical Banach spaces ⋮ Three kinds of numerical indices of a Banach space II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A geometric function determined by extreme points of the unit ball of a normed space
• Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators
• Norm attaining bilinear forms on \(L^ 1[0,1\)]
• On operators which attain their norm at extreme points
• A counterexample on numerical radius attaining operators
• There is no bilinear Bishop-Phelps theorem
• On operators which attain their norm
• Stone-Čech compactification of a product
• A property of multilinear operations
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• A proof that every Banach space is subreflexive
• Numerical Radius Attaining Operators and the Radon-Nikodym Property
• Denseness of Operators Whose Second Adjoints Attain Their Numerical Radii
• Numerical Radius-Attaining Operators on C(K)
• Rotundity, the C.S.R.P., and the λ-Property in Banach Spaces
• Boundaries for polydisc algebras in infinite dimensions
• Norm Attaining Bilinear Forms on Spaces of Continuous Functions
• On multilinear mappings attaining their norms.
• Extreme Points in Spaces of Continuous Functions
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials

This page was built for publication: Norm or numerical radius attaining polynomials on \(C(K\))