Doran R.S., Wichmann J. — Approximate Identities and Factorization in Banach Modules :: Электронная библиотека попечительского совета мехмата МГУ

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Doran R.S., Wichmann J. — Approximate Identities and Factorization in Banach Modules

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Название: Approximate Identities and Factorization in Banach Modules

Авторы: Doran R.S., Wichmann J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1979

Количество страниц: 305

Добавлена в каталог: 14.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$C^{*}-$ algebra      67
$\beta$ -topology      181
$\beta$ -totally bounded approximate identity      258
A-bimodule      90
A-module      90
Aarnes, J, F.      242
Abelian approximate identity      2
Abstract Segal algebra      210
Admissible norm      46
Akemann, C. A.      122 196 198 243 244 259 264
Algebra, $C^{*}-$       67
Algebra,amenable      233
Algebra,Beurling      179 255
Algebra,Cohen factorable      250
Algebra,disk      235
Algebra,double centralizer      196
Algebra,factorable      250
Algebra,feebly factorable      251
Algebra,Fr $\acute{e}$ chet      170
Algebra,function      265
Algebra,group      81
Algebra,group $C^{*}-$       88
Algebra,maximal commutative      182
Algebra,quasicentral      261
Algebra,quotient      42
Algebra,reflexive      225
Algebra,Segal      262
Algebra,separable      5
Algebra,symmetric ${}^{*}-$       242
Algebra,topological      254
Algebra,von Neumann      244
Algebra,weakly factorable      250
Algebraic tensor product      45
Allan, G. R.      251 252
Altman      97 240 250
Amenable, algebra      233
Amenable, group      233 246
Analytic factorization      140 146
Approximate diagonal      232
Approximate identity      2
Approximate identity, $\beta$ -totally bounded      258
Approximate identity, abelian      2
Approximate identity, bound of      2
Approximate identity, bounded      2 173
Approximate identity, canonical      184
Approximate identity, central      86
Approximate identity, chain totally bounded      258
Approximate identity, commuting      2
Approximate identity, countable      2
Approximate identity, increasing      69
Approximate identity, minimal      265
Approximate identity, norm of      2
Approximate identity, quasicentral      197 260
Approximate identity, right      2
Approximate identity, semiaccurate      40
Approximate identity, sequential      2
Approximate identity, series      244
Approximate identity, sham compact      258
Approximate identity, two-sided      2
Approximate identity, ultra      248
Approximate identity, uniform      57
Approximate identity, uniformly bounded      174
Approximate identity, weak      223 263
Approximate identity, well-behaved      184
Approximate units      50
Approximate units, bounded      50
Approximate units, left      50
Approximate units, pointwise bounded      50
Approximate units, right      50
Approximate units, two-sided      50
Approximation property      204
Archbold, R. J.      261
Arens product      224
Arens, R.      224 264
Arveson, W.      196 198 259
Auxiliary Banach module      115
Baire category theorem      56
Baker, J. W.      264
Banach ${}^{*}-$ algebraic bundle      265
Banach module      90
Banach module, auxiliary      115
Banach module, essential      91
Banach module, isometric      91
Banach module, left      90
Banach module, right      90
Barnes, B. A.      262
Basis      204
Basis, constant      204
Basis, shrinking      207
Berkson, E.      262
Beurling algebra      179 255
Beurling, A      179 255
Bilinear mapping      226
Bimodule      90
Bombal, G. F.      264
Bonsall, F. F.      238
Bound of approximate identity      2
Bounded      205
Bounded approximate identity      2 173
Bounded approximate units      50
Bounded approximation property      205
Bounded multiple units      237
Browder, A.      265
Buck topology      255
Buck, R. C.      255
Burckel, R. B.      274
Burnham, J. T      262
Busby, R. C.      197 258
Canonical approximate identity      184
Central approximate identity      86
centralizer      119 196
Chain totally bounded approximate identity      258
Choi, M. D.      260
Cigler, J.      262
Civin, P.      264
Closed graph theorem      100
Coefficient functional      204
Cohen element      253
Cohen factorable      250
Cohen, P.      23 89 93 106 114 130 237 248 249 255
Cohomology group      234
Collins, H. S.      242 243 251 257 258 259
Combes, F.      262
Combrink, C. R.      238
Compact operator      203
Completely positive lifting      260
Contractor      166
Converse of fundamental theorem      105
Cover, decomposable      190
Cover, equivalent      190
Cover, good      192
Cover, well-behaved      189
Craw, I. G.      250 251
Cross-norm      45
Cross-norm, greatest      45
Cross-norm, least      46
Curtis, P. C.      253
Dales, G.      252 253
Derivation      234
Derivation, inner      234
Dixmier, J.      69 237 238 241
Dixon, P. G.      238 239 252
Doran, R. S.      242
Dorroh, J. R.      242 258
Double centralizer      196
Duncan, J.      238
Effros, e.      260
Element, positive      69
Element, strictly positive      72
Elliott, G. A.      242

Enflo, P.      206
Equivalent cover      190
Essential Banach module      91
Essential Fr $\acute{e}$ chet module      172
Essential part      92 172
Esterle, J.      252 253
Extremally disconnected      191
Extreme point      256 257
Factorable      250
Factorable algebra without approximate units      161
Factorable, Cohen      250
Factorable, feebly      251
Factorable, weakly      250
Factorization      93
Factorization, analytic      140 146
Factorization, multiple      114
Factorization, power      122
Feebly factorable      251
Fell, J. M. G.      265
First cohomology group      234
Fontenot, R. A.      243 257 258 259
Fr $\acute{e}$ chet algebra      170
Fr $\acute{e}$ chet module      170
Fr $\acute{e}$ chet module, essential      172
Fr $\acute{e}$ chet module, left      170
Fr $\acute{e}$ chet module, right      170
Function algebra      265
Fundamental factorization theorem      93
Gelbaum, B, R      239
Gelfand - Naimark theorem      67 69 241
Gelfand, I.      67 69 78 241
Global property      182
Good cover      192
Good function      192
Greatest cross-norm      45
Green, M. D.      119 121 251
Greenleaf, F. P.      236 245
Grothendieck, A.      207 239 261
Group $C^{*}-$ algebra      88
Group algebra      81
Gulick, S. L.      249 264
Hadwin, D. W.      260
Hajnal, A.      191 257
Hennefeld, J.      264
Hewitt, E.      93 106 114 130 237 245 248 249 255
Hilbert - Schmidt operators      262
Hirschfeld, R.      228 264
Holub, J. R.      239
Hulanicki, A.      245
Increasing approximate identity      69
Inner derivation      234
Intermediate Value Theorem      15
Invariant mean      235
Isometric Banach module      91
Johnson, B. E      119 120 129 197 239 243 251 262 264
Johnson, W. B.      207 238
Jones, C. A.      263
Kadison, R. V.      242
Kakutani, S.      257
Koosis, P.      97 106 249 250 255
Kotzmann, E.      246
Lahr, C. D.      263
Lardy, L. J.      239
Laursen, K. B.      239
Least cross-norm      46
Left approximate identity      2
Left approximate units      50
Leinert      254
LePage, C.      228
Lindberg, J. A.      239
Lindenstrauss, J.      261
Liu, T. S.      249
Local property      182
Loomis, L.      245
Loy, R. J.      239 241
Majorization theorem      229
Marti, J. T.      261
Matrix ranges      260
Maximal commutative ${}^{*}-$ subalgebra      182
McArthur, C. W.      261
McCharen, E, A      264
McKennon, K.      248 265
Method of linear functionals      219
Michael, E.      254
Milnes, P.      248
Miziolek, J. K.      241
Mosak, R.      245 246
Muldner      241
Multiple factorization      114
Multiple units      237
Naimark, M. A.      67 69 78 241
Nonfactorization      167
Nonsequential approximate identities      33
Norm of an approximate identity      2
Normal element      182
Normed module      90
Ogasawara, T.      256
Ovaert, J. L.      251 255
Paracompact      186 188 242
Paschke, W. L.      254
Pedersen, G. K.      196 198 244
Perdrizet, F.      262
Perfect map      188
Phillips, R. S.      257
Pointwise-bounded approximate units      50
Porta, H.      262
Positive element      69
Positive functional      69 119
Projection      204
Pseudocompact      257
Ptak, V.      100 250 252
Pure state      243
Pym, J. S.      264
Pytlik, T.      245
Quasicentral $C^{*}-$ algebra      261
Quasicentral approximate identity      197 260
Quotient algebra      42
Reflexive Banach algebra      225
Regular Arens product      225
Reiter, H.      238 240 246 262
Rek, A.      241
Renorming approximate identities      17
Rickart, C.      61
Rieffel, M. A.      248 251
Right approximate identity      2
Right approximate units      50
Rindler, H.      246 247
Robbins, D. A.      239
Rosenfeld, M.      122
Rosenthal, H. P.      207
Ross, K. A.      245
Rudin, W.      89 248 262
Salem, R      89 249
Salinas, N.      260
Schatten, R.      239
Second dual space      224 244
Segal algebra      262
Segal, I. E.      237 245
Selfadjoint element      182
Semiaccurate approximate identity      40
Semigroup      5 19 129
Semigroup algebra      166 263
Sentilles, F. D      251
Separable algebra      5
Sequential approximate identity      2
Series approximate identity      244
Sham compact approximate identity      258
Sham compact topological space      258
Shrinking basis      207
Simpson, J. E.      264

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