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On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions

Paolo d'Alessandro ()

in Springer Books from Springer

Date: 2025
ISBN: 978-3-031-92477-4
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Chapters in this book:

Ch Chapter 1 Introduction
Paolo d’Alessandro
Ch Chapter 10 Convex Cones in Hilbert Spaces and Decomposition of Cones
Paolo d’Alessandro
Ch Chapter 11 Polar Cones and Cone Capping in Hilbert Spaces
Paolo d’Alessandro
Ch Chapter 12 Pointed Cones and Their Closures in Hilbert Spaces
Paolo d’Alessandro
Ch Chapter 13 A Completely General Decomposition of Cones and a Support Condition
Paolo d’Alessandro
Ch Chapter 14 Norm Optimal Control in Hilbert Spaces
Paolo d’Alessandro
Ch Chapter 15 Norm Optimal Control in Banach Spaces: The L p $$L_{p}$$ Case
Paolo d’Alessandro
Ch Chapter 16 The Case L ∞ $$L_{\infty }$$
Paolo d’Alessandro
Ch Chapter 17 G-Polytopes and Generalization of Cone Capping
Paolo d’Alessandro
Ch Chapter 18 Polyhedra and Range Space
Paolo d’Alessandro
Ch Chapter 19 Feasibility Conditions and the Cone F + P $$F+P$$
Paolo d’Alessandro
Ch Chapter 2 Abbreviations and Nomenclature
Paolo d’Alessandro
Ch Chapter 20 Feasibility and Beacon Points
Paolo d’Alessandro
Ch Chapter 21 Linear Optimization on Infinite Dimensional Polyhedra
Paolo d’Alessandro
Ch Chapter 22 Convex Sets and Polyhedra in R n $$R^{n}$$
Paolo d’Alessandro
Ch Chapter 23 Polyhedral Cones and Feasibility of Polyhedra
Paolo d’Alessandro
Ch Chapter 24 Linear Programming in Finite Dimension
Paolo d’Alessandro
Ch Chapter 25 The Primal Conical Internal LP Algorithm
Paolo d’Alessandro
Ch Chapter 26 Convex Sets, Convex Hypersurfaces, and G-Polytopes
Paolo d’Alessandro
Ch Chapter 27 Hypersurfaces and Bounded Bodies in Hilbert Spaces
Paolo d’Alessandro
Ch Chapter 28 Convex Hypersurfaces with Boundary
Paolo d’Alessandro
Ch Chapter 29 An Application: Color Theory
Paolo d’Alessandro
Ch Chapter 3 Linear Spaces, General and Vector Topology, and Functional Analysis
Paolo d’Alessandro
Ch Chapter 4 Strongly Continuous Semigroups in Banach and Hilbert Spaces and Differential Equations
Paolo d’Alessandro
Ch Chapter 5 Reproducing the Mild Solution by Means of a Particular Shift C o $$C_{o}$$ Semigroup
Paolo d’Alessandro
Ch Chapter 6 Capping of Cones in Locally Convex Spaces
Paolo d’Alessandro
Ch Chapter 7 On Theory of Convex Cones in LCS
Paolo d’Alessandro
Ch Chapter 8 Extreme Points, Tangent and Normal Cones, Support, and Closure of Convex Pointed Cones
Paolo d’Alessandro
Ch Chapter 9 Polyhedra and Cups in Locally Convex Spaces
Paolo d’Alessandro

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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprbok:978-3-031-92477-4

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DOI: 10.1007/978-3-031-92477-4

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