The Daugavet equation in uniformly convex Banach spaces
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Publication:1175003
DOI10.1016/0022-1236(91)90021-VzbMath0770.47005OpenAlexW2068849110MaRDI QIDQ1175003
Owen Burkinshaw, Charalambos D. Aliprantis, Yuri A. Abramovich
Publication date: 25 June 1992
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(91)90021-v
Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)
Related Items (26)
Antipodal pairs and the geometry of Banach spaces ⋮ When does ‖f(A)‖ = f(‖A‖) hold true? ⋮ The Dunkl-Williams equality in pre-Hilbert \(C^{*}\)-modules ⋮ On Birkhoff-James and Roberts orthogonality ⋮ Köthe-Bochner spaces and some geometric properties related to rotundity and smoothness ⋮ An alternative Daugavet property ⋮ On the norm attainment set of a bounded linear operator ⋮ Absolute sums of Banach spaces and some geometric properties related to rotundity and smoothness ⋮ Almost Daugavet centers ⋮ Banach spaces with the Daugavet property, and the centralizer ⋮ Norm equality for a basic elementary operator. ⋮ The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules ⋮ SOME REMARKS CONCERNING THE DAUGAVET EQUATION ⋮ Another generalization of the numerical radius for Hilbert space operators ⋮ On the triangle equality ⋮ On a norm inequality for a positive block-matrix ⋮ On \(A\)-parallelism and \(A\)-Birkhoff-James orthogonality of operators ⋮ Operator equalities and Characterizations of Orthogonality in Pre-Hilbert C*-Modules ⋮ The Daugavet equation in Banach spaces with alternatively convex-smooth duals ⋮ Inner derivations and norm equality ⋮ The Daugavet property of \(C^{\ast}\)-algebras, \(JB^{\ast}\)-triples, and of their isometric preduals ⋮ The \(p\)-Daugavet property for function spaces ⋮ Banach spaces with the Daugavet property ⋮ Slice continuity for operators and the Daugavet property for bilinear maps ⋮ Geometric aspects of the Daugavet property ⋮ A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball
Cites Work
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- A property of compact operators in the space of integrable functions
- Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions
- Daugavet's Equation and Orthomorphisms
- A Generalization of a Theorem of J. Holub
- A Property of Compact Operators
- A Property of Weakly Compact Operators on C[ 0, 1 ]
- Daugavet's Equation and Operators on L 1 (μ)
- On the Modulus of Weakly Compact Operators and Strongly Additive Vector Measures
- Locally Uniformly Convex Banach Spaces
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