On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions
This book is a research monograph with specialized mathematical preliminaries. It presents an original range space and conic theory of infinite dimensional polyhedra (closed convex sets) and optimization over polyhedra in separable Hilbert spaces, providing, in infinite dimensions, a continuation of...
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| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edición: | 1st ed. 2025. |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/978-3-031-92477-4 |
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Tabla de Contenidos:
- -- Introduction.
- Basic Facts of Set Theory.
- Linear Spaces.
- Rudiments of General Topology.
- Filters: the Fifth Equivalence.
- Hahn Banach andSeparation Theorems.
- Locally Convex and Barrelled Spaces.
- Metrics and pseudometrics, Norms and Pseudonorms.
- Topological Form of Hahn Banach and Separation Theorems.
- Extreme points, Faces, Support and the KreinMilman Theorem.
- Function Spaces.