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Gierz G. — Bundles of Topological Vector Spaces and Their Duality
Gierz G. — Bundles of Topological Vector Spaces and Their Duality

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Название: Bundles of Topological Vector Spaces and Their Duality

Автор: Gierz G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 296

Добавлена в каталог: 02.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Omega$-B-space      8
$\Omega$-center      79
$\Omega$-center, topological      157
$\Omega$-function module      see "Function module"
$\Omega$-ideal      see "Ideal"
$\Omega$-morphism      60
$\Omega$-space      8 60
$\Omega$-space, fibred      10 17
$\Omega$-space, topological      8 14 60
$\Omega$-subbundle      80
$\Omega$-subspace      13
$\varepsilon$-n-continuous      30ff
$\varepsilon$-n-thin      29ff
$\varepsilon$-tubes      see "Tubes"
3-ball-property      147ff
Adjoint of a multiplier      152
Approximation property      131
automatically      8
Banach algebra      8
Banach algebra, controid of a      77
Banach algebra, topological center of a      158
Banach bundle      see "Bundle of Banach spaces"
Banach lattice, center of a      78
Banach lattice, topological center of a      158
Base space      12 17 18
Base space of a function module      45
Base space, Borel subsets of the      268
Bilinear map      253
Bilinear map between C(X)-modules      253ff
Bilinear map, compatible with the C(X)-module structure      253ff
Bounded convergence      144
Bundle of $\Omega$-spaces      12
Bundle of Banach spaces      21
Bundle of C(S)-module homomorphisms      see "Bundle representation"
Bundle of compact operators      127ff
Bundle of finite dimensional vector spaces      188 208 215 231 247
Bundle of operators      112ff
Bundle representation of a C*-algebra      158
Bundle representation of C(X)-module homomorphisms      106ff 133ff 209ff 249
Bundle representation of compact operators      127ff
Bundle representation of operators      122ff
Bundle space      12 see
Bundle with complete stalks      19 42 100 186
Bundle with continuous norms      166ff 202 229 242 250
Bundle with Hausdorff bundle space      185 188 204 208 214 215 247
Bundle, full      22 54 97 100f 210 232
Bundle, locally full      22 27
Bundle, locally trivial      56 200 202 208 242 246
Bundle, reduced      76
Bundle, separable      215 217ff 242 280 234
Bundle, stalk of a      9
Bundle, trivial      12 215
C(X)-$\Omega$-module      62ff
C(X)-$\Omega$-morphisms      95
C(X)-convex      16 65 69ff
C(X)-module      13 62ff 115 150ff 253ff
C(X)-module homomorphisms      95ff 196 210 232
C(X)-module, bundle representations      see also "Bundle representation of C(X)—module"
C(X)-module, bundle representations, existence of"      218 225ff
C(X)-module, reduced      76
C(X)-morphism      95
C(X)-submodules      80ff 180 182
C*-algebra, bundle representation      158
Center of a Banach lattice      see also "Banach lattice center
Center of a Banach lattice, topological      152ff
Centroid of a Banach algebra      77
Closure of the unit ball of a bundle      190ff
Compact convergence      114
Compact convex sets as a lattice      137ff
Compact operators      112 see
Compact, convex circled convergence      114
Continuous lattice      136ff
Continuous norm of a bundle      see "Bundles with continuous norm"
Countable family of seminorms      42 186
Cunningham algebra      145ff 262ff
Dauns — Hofmann — Kaplansky multiplier theorem      150ff 155
Dimension is lower semicontinuous      204
Directed family of seminorms      11
Directed set in a lattice      136
Dominated linear operator      281ff
Dual space of $\Gamma (p)$      252ff
Dual, internal      252 232 196
Duality between subsets of the unit ball of a bundle and $B_{X}$      159ff 193ff
Equivalent norms of a bundle      234 250
Evaluation map      19 24ff 42f 97
Extreme points of an L-ideal      146
Fibred $\Omega$-space      10
Fibred vector space      10
Fully additive      39 82ff
Function module      45ff
Function uniform $\Omega$-function module      51
Hull-kernel-topology      142
Hypocontinuous      253ff
Ideal, $\Omega$-ideal      60f 63
Ideal, $\Omega$-ideal, stalkwise      86
Ideal, L-ideal      146ff
Ideal, M-$\Omega$-ideal      154
Ideal, M-$\Omega$-ideal, primitive      154
Ideal, M-ideal, primitive      149ff
Ideal, M-ideal, stalkwise      182
Ideal, M-ided      146ff 164 182
Integral representation of linear functionals      159 252 260ff 278 280
Internal Mackey space      232
Isometrical isomorphy of bundles      103
Isometry of bundles      103
Isomorphy of bundles      100
Isomorphy, locally      200
Klein's bottle      56
L-ideal      see "Ideal"
L-projection      145ff 262ff
Lattice of closed linear subspaces      140ff
Lattice of closed sets      137f
Lattice of compact convex sets      137ff
Lattice of open sets      137f
Lawson-continuous      138ff
Lawson-topology      138ff
Lifting      271ff
Lifting, strong      272ff
Limit of a net in a continuous lattice      140
Limit of an ultrafilter in a continuous lattice      145
Local linear independence      201ff
Locally C(X)-convex      69 75 115
Locally countable family of seminorms      25 29 100
Locally finite      39
Locally isomorphic      see "Isomorphy of bundles"
Locally paracompact space      28
M-$\Omega$-ideal      see "Ideal"
m-bounded      152ff
M-ideal      see "Ideal"
Mackey — Arens-theorem      232 238
Mackey-bundle      247ff 257ff
Moebius strip      55
Morphism between bundles      95ff 102
Morphism between trivial bundles      106ff
Multiplier      152ff
Norm of a bundle morphism      102
Pointwise convergence      114
Precompact convergence      114
Prime element      140
Prime lemma      140
Primitive M-ideal      see "Ideal"
Projection      145
Quotients of bundles      86ff
Quotients of C(X)-modules      86ff
Radon — Nikodym theorem      261f 274f
Restriction of a bundle      18
Scott-continuous      136 162f
Scott-open      137
Scott-topology      137
Section      11
Section, local      12 42f
Selection      10 42f
Selection, bounded      11
Seminorm of a boundle      11
Spectrum of a lattice      142
Stalk of a bundle      9
Stalk of a function module      45
Stalk of a locally trivial bundle      200
Stalkwise $\Omega$-ideal      see "Ideal"
Stalkwise closed      80ff
Stalkwise dense      39
Stalkwise product      9
Standard construction of bundles      45ff
Stone — Cech-compactification      63
Stone — Weierstrass theorem for bundles      39 41
Subbundle      80ff 179ff
Subbundle, stalkwise closed      86ff
Submodule      see "C(X)-submodule"
Tensor product of C(X)-modules      258ff
Total family      113
Tube      12ff
TYPE      8
Uniform $\Omega$-function module      see "function—module"
Varela's lemma      66
Vector space, fibred      10
Way below      136
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