Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators
From MaRDI portal
Publication:1261892
DOI10.1007/BF02764831zbMath0795.47001MaRDI QIDQ1261892
Publication date: 7 September 1993
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
property \(\beta\)operators on Banach spacesdenseness of the numerical radius attaining operatorsrenorming theorem
Isomorphic theory (including renorming) of Banach spaces (46B03) Numerical range, numerical radius (47A12) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items
Norm or numerical radius attaining polynomials on \(C(K\)) ⋮ The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ James type results for polynomials and symmetric multilinear forms ⋮ Numerical radius attaining compact linear operators ⋮ On the Crawford number attaining operators ⋮ On the Bishop-Phelps-Bollobás property for numerical radius in \(C(K)\) spaces ⋮ On the Bishop–Phelps–Bollobás theorem for operators and numerical radius ⋮ A new sufficient condition for the denseness of norm attaining operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm attaining operators and renormings of Banach spaces
- A counterexample on numerical radius attaining operators
- On operators which attain their norm
- Density of numerical radius attaining operators on some reflexive spaces
- 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)
- Norm attaining operators