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Husain T., Khaleelulla S.M. — Barrelledness in Topological and Ordered Vector Spaces
Husain T., Khaleelulla S.M. — Barrelledness in Topological and Ordered Vector Spaces



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Название: Barrelledness in Topological and Ordered Vector Spaces

Авторы: Husain T., Khaleelulla S.M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 258

Добавлена в каталог: 15.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\mathfrak{B}$-cone      35
$\mathfrak{F}$-norm      3
$\mathfrak{F}$-seminorm      3
$\mathfrak{G}$-topology      36
$\sigma$-barrelled space      159
$\sigma$-quasibarrelled space      159
(DF)-space      75
*-inductive limit      6
Absorb      2
Absorbing      2
Absorbing sequence      137
Alaoglu — Bourbaki theorem      21
Algebraic dual      24
Almost continuous      13
Almost open      13
Associated bornological space      71
Associated ultrabornological space      99
B-complete space      15
Baire space      43
Banach lattice      38
Banach space      13
Banach — Mackey theorem      22
Banach — Steinhaus theorem      51
Barrel      43
Barrelled l.c. vector lattice      105
Barrelled space      43
Basis (base) of neighbourhoods      2
Bi-bounded topology      82
Bidual      23
Bilinear functional      18
Biorder-bounded topology      226
Biorthogonal system      26
Bornivorous      43
Bornological space      65
Bounded absorbing sequence      137
Bounded sequence      1 59
Bounded set      5
Canonical bilinear map      24
Canonical map      7
Cartesian product      4
Cauchy filter      12
Cauchy sequence      6
Circled convex hull      2
Circled hull      2
Circled set      2
Closed graph theorem      15
Codimension      4
Coefficient functional      28
Compact set      4
Compact-open topology      116
Compatible      21
Complementary      4
complete      12
Completely regular      116
Completion      16
Component      32
Cone      29
Continuous linear functional      11
Continuous linear map      6
Continuous positive linear map      37
Convex hull      2
Countable codimension      58
Countably barrelled space      130
Countably order-quasibarrelled vector lattice      207
Countably order-quasibarrelled vector space      222
Countably quasibarrelled space      132
Countably quasiultrabarrelled space      193
Countably ultrabarrelled space      193
Decomposition property      31
Dedekind $\sigma$-complete      115
Dense      78
Direct sum      4
Directed set      31
Distinguished space      73
Dual      18
Dual cone      39
Dual system (pair)      18
Eberlein’s theorem      23
Embedding      9
Equicontinuous      17
Filter      12
Filter base      2
Filter condition      93
Finest locally convex topology      9
Finest vector topology      6
Frechet space      13
Full set      33
Functional      11
Fundamental system of bounded sets      5
Gauge      8
Generalized basis      27
Generating cone      30
Graph      14
H-space      154
Hahn — Banach theorem      10
Hausdorff topological vector space      1
Homeomorphic      117
Homeomorphism      3
Hyperplane      10
Induced topology      62
Inductive limit      9
Infimum of a set      30
Infrocomplete      1§2
Injection      117
Inverse filter condition      93
Isomorphic      4
Isomorphism theorem      52
Koethe dual      33
Koethe function space      33
l.c. direct sum topology      9
l.c. space      8
l.c. vector lattice      38
Lattice homomorphism      127
Lattice ideal      31
Lattice operations      34
Lattice seminorm      38
Linear manifold      10
Locally solid linear topology      35
Locally solid topology      38
Mackey topology      21
Mackey — Arens theorem      22
Mackey — Ulam theorem      72
Majorized      31
Markuschevich basis      27
Metrizable      3
N-barrel      131
Negative part      31
Neighbourhood basis      2
Norm      8
Normable      9
Normal cone      33
Normal subspace      108
Normal topology      155—156
Normed (vector) lattice      38
Normed space      9
Order      29
Order bound dual      40
Order bound topology      39
Order bounded set      30
Order interval      30
Order unit      30
Order-(DF)-vector lattice      215
Order-bornivorous      30
Order-quasibarrelled vector lattice      103
Order-quasibarrelled vector space      123
Order-quasiultrabarrelled vector lattice      228
Ordered l.c. space      36
Ordered t.v. space      33
Ordered vector space      29
Perfect sequence space      32
polar      19
Positive cone      29
Positive linear map      37
Positive part      31
Positive Schauder basis      127
Precompact set      5
Product space      4
Product topology      4
Projective tensor product topology      25
Quasi-complete      12
Quasibarrelled l.c. vector lattice      106
Quasibarrelled space      43
Quasiultrabarrelled space      85
Quasiultrabarrelled t.v. lattice      231
Quotient space      4
Real vector space      1
Reflexive space      23
Relatively compact      22
Riesz space      103
Schauder basis      26
Semi-bounded map      241
Semi-convex      8
Semi-reflexive space      23
Seminorm      8
Separable      78
Separately continuous      26
Sequence space      32
Sequentially barrelled space      182
Sequentially complete      12
Similar bases      27
Solid barrel      104
Solid kernel      103
Solid set      31
Strict $\mathfrak{B}$-cone      36
Strong dual      23
Strong topology      16
Support      116
Suprabarrel      84
Supremum      30
Tensor product      24
Topological basis      26
Topological dual      18
Topological tensor product      25
Topological vector lattice      35
Topological vector space      1
Topology of uniform convergence on order bounded sets      40
total      27
Tychonov plank      142
Ultrabarrel      83
Ultrabarrelled space      84
Ultrabarrelled t.v. lattice      231
Ultrabornological space      99
Ultraconditionally Cauchy, convergent      28
Vector lattice      31
Vector space      1
Weak topology      19
Weak* topology      19
wedge      30
Wedge (projective)      41
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