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Alfsen E.M. — Compact Convex Sets and Boundary Integrals
Alfsen E.M. — Compact Convex Sets and Boundary Integrals



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Название: Compact Convex Sets and Boundary Integrals

Автор: Alfsen E.M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 210

Добавлена в каталог: 19.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Sigma$-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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