Fuchssteiner, Benno; Lusky, Wolfgang Convex cones. (English) Zbl 0478.46002 North-Holland Mathematics Studies, 56. Notas de Matematica (82). Amsterdam - New York - Oxford: North-Holland Publishing Company. X, 428 p. $ 46.75; Dfl. 110.00 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 54 Documents MSC: 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures 46A40 Ordered topological linear spaces, vector lattices 46A55 Convex sets in topological linear spaces; Choquet theory 91B60 Trade models 46E05 Lattices of continuous, differentiable or analytic functions 46J20 Ideals, maximal ideals, boundaries Keywords:linear functionals on convex cones; cone; equilibrium theory in mathematical economics; statistical mechanics; extension; decomposition; representation of linear functionals by integrals; sandwich theorem; Phragmen-Lindelöf principle; three circles theorem; Jensen measures; positively independent functionals; order unit cones; adapted cones; boundaries; Bauer’s maximum principle; Krein-Milman theorem; Choquet’s theorem; generalized Hewitt-Nachbin spaces PDFBibTeX XML