Convexity and smoothness of Banach spaces with numerical index one
From MaRDI portal
Publication:2267693
zbMath1197.46008arXiv0811.0808MaRDI QIDQ2267693
Vladimir Kadets, Miguel Martín, Javier Merí, R. Payá-Albert
Publication date: 1 March 2010
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.0808
smooth Banach spacesstrictly convex Banach spacesnumerical indexalternative Daugavet propertyrich subspacelushness
Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)
Related Items
Lipschitz slices and the Daugavet equation for Lipschitz operators, Characterization conditions and the numerical index, Slicely countably determined Banach spaces, The Bishop-Phelps-Bollobás property and lush spaces, Polarization constant for the numerical radius, A numerical range approach to Birkhoff-James orthogonality with applications, Polynomial numerical indices of Banach spaces with 1-unconditional bases, Limit theorems for the numerical index, On the numerical radius of Lipschitz operators in Banach spaces, Some remarks on generalised lush spaces, On the Bishop–Phelps–Bollobás theorem for operators and numerical radius, Lushness, numerical index one and duality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An alternative Daugavet property
- The Daugavet equation for operators on function spaces
- \(M\)-ideals in Banach spaces and Banach algebras
- Convex functions, monotone operators and differentiability.
- Martingale proofs of some geometrical results in Banach space theory
- New classes of \(L_ p-\)spaces
- Geometry of Banach spaces. Selected topics
- Intersection properties of balls in spaces of compact operators
- On the extension of rotund norms
- A counterexample on numerical radius attaining operators
- Some generalizations of locally uniform rotundity
- On CL-spaces and almost CL-spaces
- On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\)
- On Banach spaces whose duals are \(L_ 1\) spaces
- On the field of values subordinate to a norm
- Semi-Inner-Product Spaces
- Numerical Radius Attaining Operators and the Radon-Nikodym Property
- Positive and negative results on the numerical index of Banach spaces and duality
- Numerical index of Banach spaces and duality
- Extreme points, exposed points, differentiability points in CL-spaces
- Properties of lush spaces and applications to Banach spaces with numerical index 1
- POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
- A note on the numerical index of theLpspace of dimension two
- Certain Banach Spaces Associated with Graphs and CL-Spaces with 1-Unconditional Bases
- On the Strongly Extreme Points of Convex Bodies in Separable Banach Spaces
- Intersection Properties of Balls and Subspaces in Banach Spaces
- Banach spaces having the Radon-Nikodym property and numerical index 1
- Banach spaces with the Daugavet property
- The alternative Daugavet property of C *‐algebras and JB *‐triples
- Extension of compact operators
- The Numerical Index of a Normed Space
- Finite-Dimensional Normed Linear Spaces with Numerical Index 1
- Functional analysis and infinite-dimensional geometry
