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| Radjavi H., Rosenthal P. — Simultaneous Triangularization |
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| Предметный указатель |
Abramovich, Y.A. 243 283 284
Absolutely irreducible 78
Absolutely nontriangularizable 78
Afzalipour, A. ix
Algebra 4
Algebra, Jordan 21
Algebra, Lie 21
Algebra, of operators 136
Algebra, semisimple 12
Algebra, unital 4
Algebraic multiplicity 159
Algebraic operator 255
Aliprantis, C.D. 242 243 283 284
Allen, G.D. 284
Amitsur-Levitzki Theorem 103
Amitzur, S.A. 103
Andersen, N.T. 190 284
Anderson, J. 251 282 284
Ando, T. 243 276 283 284 288 289 291
Ando-Krieger Theorem 276 283
Approximate commutativity 17 183
Approximate commutativity, is implied by simultaneous triangularizability 186
Aronszajn, N. 137 150 284
Aronszajn-Smith Theorem 137
Arveson, W.B. 190 191 284
Auerbach, H. 73 285
Aupetit, B. 73 160 285
Automorphism induced 53
Azoff, E.A. 285
Banach space 130
Banach, S. vii viii 10 73 130 133 139 142 149—152 154—156 160 163 167—169 171 177 193 196 198 200 201 203—205 207 208 211 212 217—219 223 242—244 250 254—256 260 268—272 276 282 283 285 288—291 293—296 299 301—305
Band 38
Band, finitely generated 265
Band, free 265
Band, generated by a set 265
Band, of constant rank 39
Band, of nonnegative matrices 113
Band, rectangular 266
Bapat, R.B. 129 285
Barker, G.P. 26 285
Barnes, B.A. 191 192 285
Bart, H. 285
Barth, W. 26 286
Bellman, R. 26 286
Bercovici, H. 286
Berger, M.A. 241 286
Berman A. 129 286
Bernstein, A.R. 150 286
Bhatia, R. 73 286
Block triangularization 12 173
Block triangularization theorem 177
Bollobas, B. 73 286
Bonsall, F. 241 286
Boundary 131
Bounded, group 45
Bounded, irreducible semigroup 45
Bounded, linear transformation 130
Bounded, subset 133
Bourbaki, N. 26 286
Boyle, M. 129 286
Brauer theorem 102
Brauer, R. 102 299
Brodskit, M.S. 190 287
Brown, A. ix
Brown, L.G. 190 287
Brown, S.W. 281 287
Buoni, J.J. 287
Burkinshaw, O. 242 243 283 284
Burnside's theorem 4
Burnside, W. 1 4—10 13 25 27 28 57 60 78 151 167—169 171 178 180 181 184 191 245 282 287 291 292 294 295 297 301 304 305
Calkin algebra 190
Cameron, R. ix
Carlson, D. 287
Caselles, V. 288
Chevreau, B. 191 281 287 288
Choi, M.D. 26 129 282 283 288
Christensen, E. 288
Cigler, G. 282 288
Clauss, J.M. 288
Collection of quotients 2
Commutant 196
Commutator 7 183
Commutators of rank one 250
Compact linear transformation 133
Complementary subspaces 138
Complete chain of subspaces 153
Completely decomposable, collection of matrices 104
Completely decomposable, collection of operators 224
Completely decomposable, matrix 108
Completely decomposable, semigroup 107
Component 266
Contained, for idempotents 173
Continuous chain 154
Conway, J.B. 18 130—132 150 153 160 163 172 288 295
Coordinate funtional 201
Daughtry, J. 288
Davidson, K. 150 161 190—192 288
Davie, A.M. 289
Davis, C. ix 289
de Pagter, B. 243 289
Decomposable, collection of matrices 104
Decomposable, collection of operators 224
Dehghan, M.A. 289
Deutsch, E. 73 289
Diagonal 17
Diagonal coefficients 156
Diagonal multiplicity 159
Dieudonne, J. 193 289
Direct sum 138
Discrete chain 154
Disjoint idempotents 174
Dominance condition 70
Dominant 70 72
Donoghue shift 220
Donoghue, W.F. 220 289
Douglas, R.G. 190 287
Downsizing lemma 204
Drazin, M.P. 289
Drnovsek, R. 243 282 283 288—290
Dual space 167
Dunford, N. 130—132 149 150 160 161 163 290
Dungey, J.W. 289
Eifler, L.Q. 26 285
Elder, M.F. ix
Elementary symmetric polynomial 31
Elencwajg, G. 26 286
Enflo, P. viii 135 171 244 290
Engel's theorem 23
Engel, F. vii 21 23 26 191 242 294 296 299 305
Erdos, J.A. 161 290
Essentially finite 56
Fatemi, T. ix
Fillmore, P.A. 42 190 287 290
Finite essentially 56
Finite group of matrices 86
Finitely generated band 265
Finiteness lemma 75
Fredholm alternative 135
Fredholm, I. 130 135 136 138 150 163 165 169 290
Free band 265
Free semigroup 264
Frobenius, G. vii 25 70 104 115 126 129 236 239 243 283 290 291 300
Goddard, L.S. 291
Gohberg, I.C 150 161 190 291
Goldhaber, J.K. 26 291
Grabiner, S. 282 291
Green, J.A. 264 282 291
Grobler, J.J. 283 291
Group bounded 45
Gruenberg, K.W. 289
| Grunenfelder, L. 25 42 291
Guinand, P.S. 242 291
Guralnick, R.M. 26 42 73 102 291 292
Haar, A. 45 292
Hadwin.D. 26 173 190 191 282 292
Halmos, P.R. ix 46 150 161 281 286 292 301
Halperin, I. ix 25 292
Handelman, D. 129 286
Herrero, D.A. 189 292 293
Hilbert space 142
Hilbert's Nullstellensatz 77
Hilbert, D. viii 77 135 142—144 150 152 154 171 173 185—191 211 221 244 245 248 249 251 253 263 281 283 287 305
Hilden, H.M. 130 150
Hill, R D. 293
Hille, E. 275 293
Holbrook, J. 243 293
Hong, Y.P. 293
Honor, R.B. 245 293
Horn, R.A. 293
Hyperinvariant subspace problem 244
Hyperinvariant, subset 135
Hyperinvariant, subspace 196
Hypertriangularizability 190
Ideal, left 117
Ideal, of a semigroup 29
Ideal, of a transitive algebra 170
Ideal, right 117
Ideal-triangularizable 224
Idempotent 138
Idempotent, contained in 173
Idempotent, minimal 50 174
Idempotents, disjoint 174
Idempotents, triangularizable 40
Indecomposable collection of operators 224
Induced automorphism 53
Induced isomorphism 53
Invariant subspace problem 135 244
Invariant, subset 135
Invariant, subspace 1
Irreducible 1
Irreducible semigroup bounded 45
Irreducible, absolutely 78
Isomorphism induced 53
Jacobson's theorem 22
Jacobson, N. 22 23 25 26 291 293 299
Jafarian, A.A. 26 192 293
Jahandideh, M.T. 242 243 283 293
John, F. 73
Joint spectral radius 194 241
JORDAN 25 26
Jordan algebra 21
Jorgens, K. 275 294
Kadison, R V. 189 190 281 294
Kalish, G. ix
Kaplansky's Theorem 34
Kaplansky, L. vii 34 41 42 79 102 242 294
Katavolos, A. 192 285 294
Kato, T. 294
Kernel of a Volterra-type operator 153
Kezlan, T.R 26 285
Kim, H.W. 294
Kokol-Bukovsek, D. 282 288
Kolchin, E. vii 29 35 36 41 71 79 248 294 304
Kosir, T. 42 291 294
Kramar, M. ix
Krein, M.G. 150 161 190 243 283 291 295
Kurosh, A.G. 79 295
Laffcy's Theorem 8
Laffey, T.J. 8 9 26 102 244 250 251 254 282 288 295
Lam, T.Y. 25 282 295
Lambrou, M. 73 74 242 295
Lang, S. 295
Larson, D.R. 189 190 284 293 295 296
Lattice ideal 224
Laurie, C 26 191 192 282 288 296
Lee, W.C 26 296
Left ideal 117
Levitzki's theorem 28
Levitzki, J. vii 28 30 35 41 68 76 79 96 103 104 296
Li, W.S. 191 288
Lidskii's theorem 161
Lidskii, V.B. 161 222 296 299
Lie algebra 21
Lie, S. 7 21 23 26 102 191 242 286 293 296 301 304 305
Linear combination of subsets 80
Linear manifold 135
Linear transformation 130
Linear transformation, bounded 130
Lipyanskii, R.S. 296
Livshits, L. 243 282 283 290 296
Lo, L. ix
Lomonosov's Lemma 162
Lomonosov's theorem 136
Lomonosov, V. vii viii 130 136 137 150 151 161—165 167 171 172 177 180 191 281 287 288 292 297 301 303 304
London, R.R. 297
Longstaff, W.E. ix 73 74 242 295 297
Ma, F. 26 296
Ma, T.W. 297
MacDonald, G. 42 243 282 283 290 296
Martinez, R. ix
Marwaha, A. 129 243 283 297
Mastnak, M. ix
Mathes, B. 243 282 283 290 296 297
Matrix completely decomposable 104 108
Matrix permutation 104
Maximal abelian self-adjoint algebra 282
McCoy's Theorem 8 9
McCoy, N.H. vii 8 9 12 26 151 161 164 192 245 297
Mine, H. 129 297
Minimal idempotent 50 174
Motzkin, T.S. 102 297
Multiplication operator 153
Multiplicity, algebraic 159
Multiplicity, diagonal 159
Murphy, G.J. 192 298
Naimark, N.A. 130 131 298
Newburgh, J.D. 160 298
Nilpotent operators, transitive algebra of 248
Nilpotent operators, uniformly closed algebra of 247
Nilpotent polynomial 94
Nonassociative algebras 21
Nonnegative matrices band 113
Nonnegative operator 224
Nonnegative, cone 223
Nonnegative, member 223
Nontriangularizable absolutely 78
Nontrivial subspace 1
Nordgren, E.A. 26 129 173 190—192 241—243 282 283 288 292 293 296 298
Normal operator 143
Nourghalitchi, M.A. ix
Okninski, J. 42 298
Omladic, M. 25 74 102 282 288 291 294 297 298
Operator norm 17
Operator, algebraic 255
Operator, compact 133
Operator, nonnegative 224
Operator, strongly positive 224
Operator, trace class 145
Pair in a semigroup triangularizable 88
Pearcy, C 191 281 287 288 294
Permutable 27 200
Permutable, spectrum 51 53 54
Permutable, trace 33
Permutation matrix 104
Perron, O. vii 26 70 104 115 126 129 236 239 243 283 299 300
Perron-Frobenius Theorem 126
Petrich, M. 42 282 298
Pierce, S. 287
Plemmons, R.J. 129 286
Polynomial, noncommutative 3
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