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| Radjavi H., Rosenthal P. — Simultaneous Triangularization |
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| Предметный указатель |
Polynomial, symmetric 31
Polynomial-identity ring 103
Ponizovskii, J.S 102
Ponizovskii, J.S. 299
Positive member 223
Positivity 129
Power, S.C 161 299
Predecessor 154
Procesi, C 103 299
Projection 138
Projection, along 138
Projection, Riesz 142
Property G 89
Property inherited by quotients 2 155
Property P 89
Pryde, A.J. 299
Quasinilpotent 10 157
Quasinilpotent, on a semigroup 213
Quotient space 2
Radical 11
Radjabalipour, M. 26 42 73 102 190 282 289 290 292 298 299
Radjavi, H. 25 26 42 73 74 102 129 150 160 173 190—192 220 222 223 241—243 281—283 288—300
Raghavan, T.E.S. 129 285
Rank at most one 54 82 95 206 208 212
Rank of a rectangular band 278
Rationality problems 102
Read, C.J. 135 191 244 300
Rectangular band 266
Reducible 1 224
Reduction to the field of complex numbers 43
Rees, D. 264 282 291
Reflexive 167
Riesz decomposition 138 256
Riesz Decomposition theorem 141
Riesz projection 142 175
Riesz, F. 130 138 140—142 150 159 160 175 176 178 180 256 258 300 305
Right ideal 117
Right ideal, minimal 117
Ringrose's Theorem 156 158
Ringrose, J.R. vii 150 151 156—159 161 182 187 189—192 198 211 260 295 300
Robinson, A. 150 286
Rogosinski, H.P. 297
Rosenthal, E. 25
Rosenthal, H. ix
Rosenthal, P. 25 26 102 129 150 160 173 190—192 220 223 241—243 281—283 288 292 293 296 298 300 301
Rostov, V.P. 294
Rota condition 74
Rota, G.C 74 241 293 301
Roth, W.E. 301
Rudin, W. 46 130—132 139 150 172 210 301
Rutman, M.A. 243 283 295
Sagle, A.A. 26 301
Sarason, D. 190 301
Schaefer, H.H. 129 243 283 302
Schatten p-class 145
Schmidt, O.J. 83 102 287 302 305
Schneider, H. 26 73 289 291 302
Schneider, M.H. 302
Schur's theorem 3
Schur, I. 3 25 290 294 302
Schwartz, J.T. 130—132 149 150 160 161 163 290
Self-adjoint family 36
Self-adjoint semigroup 88 211
Semigroup 27
Semigroup, bounded irreducible 45
Semigroup, completely decomposable 107
Semigroup, free 264
Semigroup, ideal 29
Semigroup, of matrices, with sublinear spectrum 87
Semigroup, of rank at most one 82 95
Semigroup, self-adjoint 211
Semisimple algebra 12
Semrl, P. 283 290 302
Serre, J.P. 302
Shapiro, H. 26 302
Shields, A. ix
Shields, A.L. 294
Shirdarreh, M.H. ix
Shulman, V.S. 102 241 242 282 300 302
Simon, B. 150 303
Simonic, A. 191 303
Simultaneous triangularizability implies approximate commutativity 186
Singer, I.M. 189 190 294
Singular value decomposition 145
Singular values 145
Sizer, W.S. 303
Smith, K. ix
Smith, K.T. 137 150 284 286
Soltysiak, A. 241 301
Sourour, A.R. 26 192 293
Spectral mapping theorem 3
Spectral mapping theorem for families of compact operators 157
Spectral radius 132
Spectral radius formula 132
| Spectral radius, joint 194
Spectral radius, of a normal operator 143
Spectral radius, submultiplicative 66
Spectral theorem for compact operators 144
Spectrum, approximate point 131
Spectrum, permutable 51 53 54
Spectrum, point 131
Spectrum, sublinear 80 86—88
Spectrum, submultiplicative 55
Sprunenko, D.A. 303
Stamatopoulos, C 294
Standard subspace 223
Strang, W.G. 241 301
Strictly transitive 169
Strong operator topology 171
Strong quasiaffinity 212
Strongly positive operator 224
Subalgebra 136
Sublinear spectrum 80 86—88
Submultiplicative, spectral radius 66
Submultiplicative, spectrum 55
Subnormal operators 281
Subset, hyperinvariant 135
Subset, invariant 135
Subset, transitive 136
subspace 135
Subspace, hyperinvariant 196
Subspace, invariant 1
Subspace, nontrivial 1
Subspace, standard 223
Sunder, V.S. 292
Szep, G. 303
Tamarkin, J.D. 275 293
Taussky, O. 102 297 303
Thompson, A.C 73
Thue, A. 303
Tong, Y. 303
Trace 147
Trace class 145
Trace norm 145
Trace, permutable 33
Transitive algebra nonzero ideal of 170
Transitive algebra of nilpotent operators 248
Transitive algebra problem 244
Transitive subset 136
translate 166
Triangular models 190
Triangularizable 1 152
Triangularizable, algebra of compact operators 164
Triangularizable, idempotents 40
Triangularizable, pair in a semigroup 88
Triangularizable, semigroup 53
Triangularizable, trace-class operators 222
Triangularization Lemma 2 155
Triangularizing chain 152
Troitsky, V. 191 303
Turovskii's Theorem 198
Turovskii, Y.V. viii 165 193 198 199 204 205 217 220 241—243 245 255 283 302 304
Unicellular 68
Uniformly closed algebra of nilpotent operators 247
Unit ball 133
Unital algebra 4
Unitary operator 143
Vala, K. 241 304
Varadarajan, V.S. 26 304
Vaughan-Lee, M. 304
Vessal, M. ix
Vinberg, E.B. 304
Voiculescu, D. 190 304
Volterra operator 153 220
Volterra-type operator 153
Volterra-type operator, kernel 153
von Neumann, J. 150
Walde, R.E. 26 301
Wales, D.B. 102 304
Wang, Y. 241 286
Ward, J.D. 284
Watters, J.F. 26 304
Wehrfritz, B.A.F. 304
Whaples, G. 26 291
Wielandt, H. 102 305
Williamson, J. 25 305
Wogen, W.R. 189 293 296
Wojtynski, W. 191 242 302 305
Woodward, G 284
Word 264
Yahaghi, M.R. ix 241 305
Zaanen, A.C. 243 275 276 305
Zassenhaus, H.J. 102 304 305
Zelmanov, E.I. 282 304 305
Zemanek, J. 73 305
Zero-one spectra 36
Zhong, Y. ix 129 243 283 288 305
Zippin, L. ix
Zuidwijk, R.A. 285
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