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| Alfsen E.M. — Compact Convex Sets and Boundary Integrals |
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| Предметный указатель |
 -convex 40 130
Abstract compact convex 81
Admissible cone 47
Admissible cone, space 79
Affine dependence 11 106 129
Affinely independent sets 128
Almost Archimedean ordered 111
Anti-lattice 164
Archimedean face 118
Archimedean face, ideal 116
Archimedean face, ordered 67
Baire measure 9
Barycenter 11
Barycenter formula 13 14 20
Base-norm 77
Base-norm space 77
Bauer simplex 103
Bauer's Maximum Principle 46
Bishop — de Leeuw Theorem 39
Borel measure 9
Boundary affine dependence 106 129
Boundary affine dependence, measure 35
Boundary affine dependence, set 32
Bounded extension property 113
Boundedly positively generated 111
Canonical representation 74
Caratheodory theorem 62
Cartier — Fell — Meyer Theorem 23
Cartier's Theorem on dilation of measures 28
Center of an order-unit space 157
Central idempotent 183
Central idempotent, measure 175
Characteristic number 113
Choquet boundary 46
Choquet point 46
Choquet simplex 84
Choquet — Bishop — de Leeuw Theorem 36
Choquet's Representation Theorem 36
Choquet's Uniqueness Theorem 87
Choquet-Edwards Theorem 49
Choquet-Meyer Theorem 88 89
Comparison of measures 22
Complementary set 132
Dilation of measures 25 27
Direct convex sum 128 171
Direct convex sum, ordered sum 172
Directed ordered vector space 76
Dirichlet problem 105
Disintegration of measures 27
Edwards Separation Theorem 90
Exposed face 119
Extension property 113
Extreme boundary 4
Facial topology 143
Functional representation 73
Grothendieck's Completeness Theorem 5
Hereditary 56 82
Herve's characterization of extreme points 31
Herve's Theorem on strictly convex functions 32
Hull-kernel topology 146 149
Inner automorphism of a compact convex set 150
Isomorphism of order-unit spaces 70
Isotone function 55
Kadison's Representation Theorem 74
Klee's Theorem on locally compact cones 83
Krein — Smullyan Theorem 8 81
Linear compactness 101
| Local center at a point of a compact convex set 174
Lower envelope 4
Max-boundary 50 74
Max-stable cone 45
Maximal central measure 184
Maximum principle 36 46
Measure convex 130
Minimal boundary 54
Mokobodzki's Approximation Theorem 44
Mokobodzki's Approximation Theorem, characterization of boundary measures 34
Moment of a measure 11 175
Monotone envelopes 57
Multivalued function 18
Near-lattice ideal 145
Order bounded linear operator 159
Order bounded linear operator, homomorphism 70
Order bounded linear operator, ideal 67
Order bounded linear operator, interval 145
Order bounded linear operator, unit 68
Order-unit norm 69
Order-unit norm, space 69
Ordered convex compact 55
Oscillation of a function 14
Part 122
Part, metric 124
Perfect order ideal 110
Porcupine topology 40
Positive face 59
Positively generated 70
Primary point 172
Prime simplex 164
Primitive ideal 146
Primitive ideal, space 146
Pseudo carried 43 184
Quotient ordering 67
Radially compact set 76
Radon measure 9
Rainwater Theorem 37
Regular embedding 80 81
Regular embedding, measure 9
Relatively exposed face 119
Representation of points by measures 22
Riesz decomposition property 84
Riesz interpolation property 84
Riesz interpolation property, weak 90
Schreier refinement theorem 102
Self-determining 111
Set of determinacy 111
Silov boundary 50
Simple measure 59
Simplicial measure 59
Split face 133
Stable subset 46
State 72
State space 72
Stone — Kakutani — Krein — Yosida Theorem 76
Stormer's axiom 146
Strictly convex function 32
Strongly Archimedean face 118
Strongly Archimedean ideal 116
Strongly disjoint 171
Subgraph 3 131
Supergraph 2 3
Topological order homomorphism 72
Upper envelope 4
Vague topology of measures 10 13
Weak integral 10
Wils' Central Measure Theorem 185
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