Convex Cones in Hilbert Spaces and Decomposition of Cones

Paolo d’Alessandro

Chapter Chapter 10 in On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions, 2025, pp 177-181 from Springer

Abstract: Abstract Convex cones machinery is the mainstay of our investigations on geometry of convex sets and optimization. Here we present, within the Hilbert space environment, a major result on decomposition of non-closed convex cones, which have a closed lineality space (while the general case will be solved later on) and develop various important ancillary results.

Date: 2025
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DOI: 10.1007/978-3-031-92477-4_10

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