The endomorphisms of the lattice of closed convex cones

zbMath1157.52004MaRDI QIDQ945967

Rolf Schneider

Publication date: 22 September 2008

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222831

zbMATH Keywords

dualityorder-preserving mappinglattice endomorphismlattice of convex cones

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (12)

The spherical convex floating body ⋮ Fixed points of polarity type operators ⋮ Conceptual orthospaces -- convexity meets negation ⋮ A zoo of dualities ⋮ Order isomorphisms in cones and a characterization of duality for ellipsoids ⋮ A characterization of duality through section/projection correspondence in the finite dimensional setting ⋮ Order preserving and order reversing operators on the class of convex functions in Banach spaces ⋮ On order-preserving and order-reversing mappings defined on cones of convex functions ⋮ A new duality transform ⋮ Duality on Convex Sets in Generalized Regions ⋮ A characterization of the support map ⋮ Dualities and endomorphisms of pseudo-cones

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