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Aliprantis Ch.D. — Positive Operators
Aliprantis Ch.D. — Positive Operators



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Название: Positive Operators

Автор: Aliprantis Ch.D.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 367

Добавлена в каталог: 01.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Positive part of set      6
Positive projection      33
Prime ideal in Boolean algebra      199
Principal band      35
Principal ideal      31
Principal projection property      35
Product topology      138
Projection      33 67 93 211
Projection band      32 69 85
Projection element      35
Projection order      67 85
Projection property      33 105
Projection, canonical      93
Projection, positive      33
Property, $\sigma$-order continuity      96
Property, (u)-      222
Property, countable sup      52 97
Property, Dunford — Pettis      333 334
Property, Grothendieck      211
Property, order continuity      96
Property, principal projection      35
Property, projection      33
Property, reciprocal Dunford — Pettis      347
Property, Riesz decomposition      14
Property, Schur      200 338
Quasi-interior point      259
Quotient Riesz space      94
Quotient topology      149
r-norm      248
Rademacher functions      161 213 277 288
Rank one operator      60
Reciprocal Dunford — Pettis property      347
Reflexive Banach space      151 240 287 294
Regular norm      248
Regular operator      10
Relative uniform convergence      95
retract      40
Retractable Riesz space      40
Riesz algebra      116
Riesz decomposition property      14
Riesz dual system      166
Riesz homomorphism      88
Riesz isomorphic spaces      89
Riesz seminorm      162
Riesz space      2
Riesz space with $\sigma$-order continuity property      96
Riesz space with countable sup property      52 97
Riesz space with order continuity property      96
Riesz space with principal projection property      35
Riesz space with projection property      33
Riesz space, $\sigma$-Dedekind complete      12
Riesz space, Archimedean      7
Riesz space, Dedekind complete      12
Riesz space, laterally complete      100 120
Riesz space, locally convex-solid      163
Riesz space, normed      174
Riesz space, perfect      59
Riesz space, quotient      94
Riesz space, retractable      40
Riesz space, super Dedekind complete      52
Riesz space, uniformly complete      104
Riesz space, universally complete      120
Riesz subspace      22 163
Riesz subspace, generated by a vector space      197
Riesz subspace, order dense      29
Riesz subspace, super order dense      53
Ring ideal of an operator      322 326
Rosenthal's Theorem      241
Saturated family of seminorms      132
Schauder basis      216
Schur property      200 338
Second dual      147
Second order dual      58
Semicompact operator      324
Seminorm      132
Seminorm, $\sigma$-order continuous      178 197
Seminorm, lattice      162
Seminorm, order continuous      168
Seminorm, Riesz      162
Separable space      152 198 221
Separation of points      54 55
Separation of sets      134
Sequence with property (u)      222
Sequence, basic      216
Sequence, decreasing      7
Sequence, disjoint      73 180 183
Sequence, increasing      7
Sequence, k-disjoint      181
Sequence, uniformly Cauchy      104
Sequence, uniformly convergent      95
Sequence, weakly Cauchy      190 222
Set, absorbing      128
Set, balanced      128
Set, bipolar      140 141
Set, bounded from above      10
Set, bounded from below      10
Set, circled      128
Set, clopen      191
Set, convex      24 128
Set, directed downward      13
Set, directed upward      13
Set, Dunford — Pettis      343
Set, equicontinuous      142
Set, extremal      137
Set, order bounded      10
Set, order closed      30
Set, polar      140
Set, solid      23 162
Set, topologically bounded      129
Set, uniformly closed      95
Shift operator      86
Simple component      75
Singular component      45
Singular operator      44
Smallest extension      24
Solid hull      164 202 205
Solid set      23 162
Space, $L_p$-      187 192
Space, AL-      187 192
Space, AM-      187 188 194
Space, Banach      149
Space, dual      55
Space, extremally disconnected      191 200
Space, Grothendieck      211
Space, KB      225 226
Space, locally convex      131
Space, locally convex-solid      163
Space, normed      149
Space, normed Riesz      174
Space, quotient      94 149
Space, reflexive      151
Space, Riesz      2
Space, separable      152
Space, Stone      200
Spectral theorem      82
Step function      81
Stochastic matrix      105
Stone Representation Theorem      191 200
Stone space      200
Strict separation of sets      134
Strictly positive functional      87 183
Strictly positive operator      52
Strong topology      147
Sublinear function      20
Sublinear function, monotone      22
Sum of Banach spaces      176
Sum of Riesz spaces      18
Sum of sets      29 127 136
Super Dedekind complete Riesz space      52
Super order dense Riesz subspace      53
Supporting functional      132
Supremum of elements      2
Supremum of functionals      55
Supremum of operators      12 38 39
Tauberian operator      349
Topological dual      133 166
Topological vector space      128
Topologically bounded set      129
Topology of uniform convergence      142
Topology, $\mathfrak{S}$-      142
Topology, absolute Mackey      167
Topology, absolute weak      166 169 274
Topology, compatible      143
Topology, consistent      143
Topology, euclidean      150
Topology, hull-kernel      200
Topology, linear      128
Topology, locally convex      131
Topology, locally convex-solid      163
Topology, Mackey      144
Topology, order continuous      168
Topology, product      138
Topology, quotient      149
Topology, strong      147
Topology, weak      138 139 151
Topology, weak*      151
Totally bounded set      129 146 164 268
Transpose operator      62 146
Triangle inequality      6
Uniformly Cauchy sequence      104
Uniformly closed ideal      95
Uniformly closed set      95
Uniformly complete Riesz space      104
Uniformly convergent sequence      95
Unit ball      150
Unit, order      188
Unit, weak      36
Universal completion      120 125
Universally complete Riesz space      120
Upward directed set      13
Vector lattice      2
Vector space, locally convex      131
Vector space, normed      149
Vector space, ordered      1
Vector space, topological      128
Weak Cauchy sequence      190 222 286
Weak Dunford — Pettis operator      342
Weak order unit      36
Weak sequential completeness      225 286
Weak topology      138 139 151
Weak* topology      151 157 211 233
Weakly compact interval      179 309
Weakly compact operator      284 314
Weakly compact set      156 179 200 309
Weakly compactly generated Banach space      308
Weakly continuous operator      146 284
Weakly metrizable topology      153
Weakly sequentially continuous lattice operations      196 338
Zero carrier      4
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