Numerical index of Banach spaces of weakly or weakly-star continuous functions

DOI10.1216/RMJ-2008-38-1-213zbMath1172.46007OpenAlexW1976108979MaRDI QIDQ1010991

Miguel Martín, Javier Merí, Ginés López-Pérez

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-1-213

zbMATH Keywords

numerical rangenumerical radiusnumerical indexweakly continuous functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12)

Related Items

An alternative polynomial Daugavet property ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ Some geometric properties of disk algebras ⋮ Numerical index and Daugavet property of operator ideals and tensor products ⋮ On a second numerical index for Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spaces of operators, the \(\psi\)-Daugavet property, and numerical indices
• Geometry of Banach spaces. Selected topics
• Intersection properties of balls in spaces of compact operators
• A new sufficient condition for the denseness of norm attaining operators
• Geometric aspects of convex sets with the Radon-Nikodym property
• Numerical index of vector-valued function spaces
• Numerical index of Banach spaces and duality
• On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals
• Banach spaces having the Radon-Nikodym property and numerical index 1
• NUMERICAL INDEX AND THE DAUGAVET PROPERTY FOR $L_\infty(\mu,X)$
• Banach spaces with the Daugavet property
• Numerical index and renorming
• On Some Extremal Problems in Banach Spaces.
• Finite-dimensional Banach spaces with numerical index zero
• Geometrical properties of the product of a \(C^*\)-algebra