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Wilansky A. — Modern Methods in Topological Vector Spaces
Wilansky A. — Modern Methods in Topological Vector Spaces



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Название: Modern Methods in Topological Vector Spaces

Автор: Wilansky A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 278

Добавлена в каталог: 16.12.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Decomposition      63 96
Dense      23 see
Derivative      62
Diagonal      14
Dierolf, P.      251
DIMENSION      see Countable; Finite
Dirac delta      223
Direct sum      213 see
Directed set      5 118
Disc      21 see sequentially
Disc algebra      2 28
Disc closed      177
Discrete: filter      44
Discrete: order      6
Discrete: subspace      14
Discrete: topology      39
Distance      23 29
Distinguished      261
Distributions      222 see 28
Divisors of zero      172
Dixmier, J.      263
Doubling      118
Dual      see Range closed
Dual = Strong dual      149
Dual norm      21 192
Dual operators      162 175
Dual pairs      297 298
Dual properties      116 129
Dual space      22 94 see f-duals;
Dual total      95
Dual, trivial      25
Duality invariant      103
Duality invariant, barrel      112
Duality invariant, bornivorc      115
Duality invariant, bounded      114
Duality invariant, BTB(not)      115
Duality invariant, cc      232 233
Duality invariant, compact (not)      112
Duality invariant, complete (not)      115
Duality invariant, convex closure      112
Duality invariant, dense (not)      112
Duality invariant, equicontinuous (not)      131
Duality invariant, fundamental      112
Duality invariant, linear closure      112
Duality invariant, semibornological      126
Duality invariant, separable      113
Duality invariant, totally bounded (not)      115
Dudley, R.M      224
Dunford — Pettis      233 247
Eberlein — Smulian      229
Embedding in: $l^{\infty}$      173
Embedding in: bornological      118
Embedding in: C(H)      145 148
Embedding in: product      97
Embedding in: weak*      145
Enilo, P.      66
Equicontinuous      128 129 131 143 see
Equicontinuous, $F_A$      129
Equicontinuous, $\sigma$, $\omega$, $\varphi$      131
Equicontinuous, barrelled      137
Equicontinuous, closure      137 140
Equicontinuous, metric      162
Equicontinuous, ultrabarrelled      140
Equivalence program      141 147
Equivalence program, $T^0$      183
Equivalence program, barrelled      137
Equivalence program, cc      142
Equivalence program, quasibarrelled      151 152
Equivalence program, relatively strong      142
Equivalent      16 22 118 192
Eventually      6
Extension: $c_0$      146
Extension: $l^{\infty}$      25
Extension: C(H)      26
Extension: dense      17
Extension: Hahn — Banach      19 23 100
Extension: lc      95
Extension: linearly independent      9
Extension: maximal subspace      99
Extension: norm      21
Extension: topology      98 116
Extremally disconnected      242 245 246
Extreme      233
F linked      73 76
F linked, admissible      122
F linked, barrelled      140
F linked, Cauchy, complete      74
F spaces      247 251
f-dual      132
Fatou's lemma      113
FH      67 see
FH basis      141
FH inclusion      68 131 252 253
FH intersection      68
FH subsets      140 254
FH sum      226
FH uniqueness      68
FH zeros      226
FH, matrix map      70
FH, non-barrelled      254
Filter (base)      44 see
finite      see Complement
Finite codimension      9 39
Finite dimension      8 82 see
Finite inductive limit      224
Finite Seminorms      94
First category      10
First category, barrelled      136
First category, countable dim. and codim.      83
First category, FH      59 70
First category, largest lc      93
First countable      51 52
FK      see FH
FOURIER      34 66 174
Frechet combination      16
Frechet space      56 135
Fredholm      250 251
Fremlin, D.H.      244
Fully complete      193 see
Functional      7
Fundamental      23 96 104 112 see
FX-, FY-subspace      252
G      245 see
Gauge      18 75
GB      244—247 see
Gelfand representation      146
Generalized limit      21 see
GENERATED      45
Gleason parts      148
Grothendieck, A.      see G;GB; Complete;Completion; Interchange
Growth      254
Hahn — Banach      see Extension; Non-lc;Separation: Separated: Support
Hamel basis      8 66 143
Hampson, J.K.      251
Hardy spaces      252
Hellinger — Toeplitz      165 167
Helly's theorem      173
Hemicompact      14 40
Hilbert space (see Table 2)      169
Hoelder's inequality      3
inclusion      see Barrelled; Comparison; r0;Directed ; FH l
Indiscrete      6 39 44 99
Inductive limit      210 214 see
inf      see Quotient
Inf, $T_A$      123
Inf, intersection      211
Inf, paranorms      18
Inf, separation      217
Interchange      181
Interior      44
Intersection      see FH; Inf
Inverse      141 see Right
Isometry      26
Isomorphism      170 171
Iterated limit condition      231
K      263
k space      57 76 200
Kalton, N.J.      203 206 252 253
Kelley, J.L.      234
Kerr, D.R.      259
Kothe — Toeplitz      see $\alpha$
Krein — Milman      234
Krein — Smulian      190
Krein,M.      231 233
L      2 see
L, $L^p$      2 239 see
L, $L^p$, basis      66
L, $L^p$, complete      29
L, $L^p$, dual      25
L, $L^p$, not normed      25
L, $L^p$, points      29
L, $L^p$, subsets      49 50
l, cc      136
l, complement      106
l, complete      105 139
l, convergence      237
l, dual and bidual      22 32
l, in $c_0$      59
l, inclusion      131 253
l, maps      176 258
l, Mazur      117 126
l, not reflexive      31 230
l, quotient      81
l, subsets      25 29
l, topologies      110
Large      260 261
Larger: Frechet      204
Larger: None      60 102 251
Larger: Norm      59 60
Largest      192
Largest lc      93 see 3 7 14 16 27 28;
Largest lc, $\sigma$      122
Largest lc, hereditary      217
Largest lc, inductive limit      212
Largest lc, locally bounded      110
Largest lc, relatively strong      109
Largest lc, subsets      139
Largest vector topology      40
Largest vector topology, bounded      50
Largest vector topology, convergent      117
Largest vector topology, inductive limit      212
Largest vector topology, lc      93 213
Largest vector topology, Mazur      126 127
Largest, admissible      182
Largest, compatible      133
Lattice      6 18 21
Lebesgue      231 240 243
Left inverse      63 71 147
Linear      7
Linear closure      23 113 see
Linear homeomorphism      see Isomorphism
List of dual pairs      297 298
Local-null      126 127
localization      38
Locally bounded      53 see
Locally bounded $l^p$, $L^p$, ll      55
Locally bounded maps      54
Locally bounded P-norm. Quasinorm      55
Locally bounded seminorm      97
Locally bounded, not      110
Locally compact      86
Locally convex      91 51 54 98 see
Locally totally bounded      84
Lower semicontinuous      113 139 152
M(H)      240
Mackcy — Arens      133 see
Mackey space      109 see
Mackey — Ulam      265
Mackey, G.W.      109 133 265
Mahowald, M      205
Matrix      34 35 70 166
Maximal      6 7 43
Maximum value      23 25 31
Mazur, S.      98
Mazur, S., consistency      106
Mazur, S., dual pair      126
Mazur, S., space      124 see 13 18
Mcintosh, A.G.      230 257
Measure      see bfa; Radon ; Ulam
Metric, metrizable      10 125 190 219 see 7 14 1 21
Milutin, A.A.      29
Minimal      110
Minimum norm      155 156
Minkowski      4 see
mixed      265
Montel      90 see
Multiplier      70 see
N      3 see
N-complete      90 136 183
N-sequential      228 see
Nachbin — Shirota      118 141
Natural embedding      29 107 149 see
Natural embedding, bounded      152
Natural embedding, continuous      151
Natural embedding, dual      167 177
Natural embedding, onto      107
Natural embedding, open      1 50
Natural embedding, sequentially continuous      152
Nearly range closed      176 177
Neighborhood      10 45 see
Net      6 see
Nikodym, C      238
Non-barrelled      35 116 255 see
Non-comparable      59 110
Non-complemented      62 82 106
Non-continuous      35 36
Non-differentiable      199
Non-dual      see $c_0$
Non-lc      see $l^{1</a></span> <span class=subjpages><a href=
Non-lc between 2 lc      213
Non-lc, $\Gamma$      93
Non-lc, cc      193
Non-lc, compatible      113 136 140
Non-lc, dual      95
Non-lc, Hahn — Banach      98
Non-lc, Krein — Milman      234
Non-lc, Open map      199
Norm      18 20 see Larger;
normal      55 123 265
Normal sequence      257 258
Norming      259
Null sequence      124 142 see
Null space      165 see
Onto      60 171 252
Open map      57 195 208 see
Open map, $X^#$      198
Open map, $\sigma$      59
Open map, converse      207
Open map, dual map      196
Open map, Frechet      58 61
Open map, Ptak      195
Open map, second category      59
Open map, ultrabarrelled      99
Operator      164
Order      5
Orlicz — Pettis      252
p-Norm      55
Paranorm      15 16 37 see
Partial order      5
Perfect      98 123
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