Optimization and differentiation in Banach spaces
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Publication:1096138
DOI10.1016/0024-3795(86)90314-9zbMath0633.46042OpenAlexW2018970665MaRDI QIDQ1096138
Publication date: 1986
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(86)90314-9
Existence theories for problems in abstract spaces (49J27) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (29)
On holomorphic functions attaining their norms ⋮ On quasi norm attaining operators between Banach spaces ⋮ Numerical peak holomorphic functions on Banach spaces ⋮ On Stegall's smooth variational principle ⋮ Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ On the Crawford number attaining operators ⋮ Generalized numerical index of function algebras ⋮ A variational approach to norm attainment of some operators and polynomials ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Biduality in weighted spaces of analytic functions ⋮ Generic existence of solutions for some perturbed optimization problems ⋮ Smooth points in some spaces of bounded operators ⋮ Denseness of norm-attaining mappings on Banach spaces ⋮ Denseness of holomorphic functions attaining their numerical radii ⋮ Generic solutions for some perturbed optimization problem in non-reflexive Banach spaces ⋮ Generalized numerical index and denseness of numerical peak holomorphic functions on a Banach space ⋮ A “nonlinear” proof of Pitt’s compactness theorem ⋮ The Birkhoff-James orthogonality and norm attainment for multilinear maps ⋮ Monotone solutions for mean field games master equations: finite state space and optimal stopping ⋮ Reflexivity and nonweakly null maximizing sequences ⋮ Optimization of convex functions on w*-compact sets ⋮ A new sufficient condition for the denseness of norm attaining operators ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ The Bishop-Phelps-Bollobás Theorem for bilinear forms ⋮ On monotone solutions of mean field games master equations ⋮ Residuality in the set of norm attaining operators between Banach spaces ⋮ The version for compact operators of Lindenstrauss properties A and B ⋮ Smooth bump functions and the geometry of Banach spaces. A brief survey
Cites Work
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- Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions
- Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions
- On dentability and the Bishop-Phelps property
- Optimization of functions on certain subsets of Banach spaces
- The duality between Asplund spaces and spaces with the Radon-Nikodym property
- Geometric aspects of convex sets with the Radon-Nikodym property
- The Radon-Nikodym Property in Conjugate Banach Spaces. II
- Strongly Exposed Points in Weakly Compact Convex Sets in Banach Spaces
- Differentiable Functions and Rough Norms on Banach Spaces
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