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| Авторизация |
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| Przeworska-Rolewicz D., Rolewicz S. — Equations in linear spaces |
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| Предметный указатель |
Monomorphism 25
Multiindex 128
Multiplication 16 51
Multiplicity of the eigenvalue 49
Muskhelishvili, N.I. 367
Nakamura, M. 370
Neighbourhood 115
Neubauer, G. 42 61 295
Newburgh, J.D. 289 370
Nikolskii, S.M. 368 370
Noether, F. 367
Norm 122
Norm in a Banach paraalgebra 248
Norm of a basis 170
Norm of an operator 158
Norm, homogeneous 140
Norm, p-homogeneous 140
Norms equivalent 122 239
Nullity of the operator 29
Operation associative 16
Operator of multiplication 336
Operator, A-co-semicompact 317
Operator, A-compact 198
Operator, A-continuous 162
Operator, A-perturbation 38
Operator, A-semicompact 317
Operator, adjoint 90
Operator, algebraic 81
Operator, almost algebraic 81
Operator, almost inverse 96
Operator, bounded 158
Operator, closed 182
Operator, co-semicompact 257
Operator, compact 196
Operator, completely continuous 196
Operator, conjugate 90
Operator, continuous linear 157
Operator, embedding 213
Operator, equicontinuous 163
Operator, finite-dimensional 33
Operator, H-resolvable 91
Operator, Hankel 352
Operator, identical 26
Operator, inverse 25
Operator, Kato 252
Operator, left-invertible 32
Operator, linear 25
Operator, linear continuous 157
Operator, locally algebraic 167
Operator, normally resolvable 184
Operator, preserving a conjugate space 295
Operator, projection 26
Operator, right-invertible 32
Operator, semicompact 252 257
Operator, unconditionally convergent 267
Operator, weakly compact 249
Operator, weakly continuous 216
Operator, weakly singular integral 321
Order of a determinant system 105
Order of an element 68
Order of an operator 103
Order, relation 15
Orlicz, W. 148 154 155 220 225 369
Paley, R.E.A. 225
Paraalgebra 53
Paraalgebra of operators 56
Paraalgebra, Banach 238
Paraalgebra, regularizable 57 59
Pararing 51 52
Pararing with unities 54
Pararing, quotient 55
Paraska, V.I. 289 291
Pelczynski, A. 222 227 228 229 230 254 257 260 261 264 266 267 271 274 369 370
Perturbation of an operator 38 311
Pettis, B.J. 263 265 266
Plemelj, J. 333
Pogorzelski, W. 333 336
Point, accumulation 116
Point, cluster 116
Point, limit 116
Point, regular 303
Polynomial characteristic 68
Power of a basis 20
Principal value of a Cauchy integral 332
Principle of transfinite induction 15
Privalov, I. 333
Product of Hausdorff topological spaces 117
Product of operators 26
Product of spaces 21
Product, algebraic 17
Product, inner 130
Product, scalar 130
Projection of a space 161 226
Projection, operator 26
Projection, space 27
Projector 26
Property Dunford — Pettis 263
Pseudonorm 144
Quasi-Fredholm ideal 42 57
Rademacher system 176
Rademacher, H. 176
Radical 18
Radical of a paraalgebra 54
Range of an operator 25
Rank of the matrix 34
Rauszer, C. 370
Regularizer left (right) of an operator 40 55
Regularizer left (right) of an operator, simple 40 55
Relation order 15
Resolvent 303
Restriction of the operator 27
Riemann integral 153
Riemann, B. 152 153
Riesz theory 203
Riesz, F. 203 369 370
Ring 16 17
Ring with a unit 17
Ring, commutative 18
Ring, linear 23
Ring, quotient 19
Root, characteristic 68
Root, number 309
Ruston, A.F. 368
Rutman, L.A. 219
Scalar product 130
Schauder basis 168
Schauder, J. 168 174 369 370
Schwartz, J.T. 214 215 218 367 369
Schwarz inequality 130
Schwarz, H.A. 130 355
Segment 142
Sequence of functionals 216
Sequence of subdivisions normal 152
Sequence of successive approximations 276
Sequence,  -convergent 151
Sequence, -fundamental 152
Sequence, Cauchy 132
Sequence, convergent 117
Sequence, fundamental 132
Sequence, normal 152
Sequence, orthogonal 175
Sequence, orthonormal 175
Sequence, strongly linearly independent 219
Sequence, weakly fundamental 215
| Sequence, weakly fundamental of functionals 216
Series, convergent 135
Series, unconditionally convergent 220
Series, weakly unconditionally convergent 221
Set dense 116
Set of a first category 116
Set of a pararing 53
Set of a second category 117
Set of the class  116
Set of the class  116
Set, balanced 120
Set, bounded 140
Set, circled 120
Set, closed 115 132
Set, compact 118
Set, complete 131
Set, conditionally weakly compact 216
Set, convex 142
Set, countable 15
Set, linearly independent 20
Set, non-dense 116
Set, nowhere dense 116
Set, open 115
Set, ordered by the relation 15
Set, partially ordered 16
Set, precompact 195
Set, symmetric 120
Set, total 165
Set, weakly compact 216
Set, weakly precompact 216
Set, well-ordered 15
Sets of the same power 15
Sierpinski, W. 134
Sikorski, R. 368
Singer, I. 222
Sinus transformation 359
Smulian, V.L. 217 218
Sobczyk, A. 235 369
Space adjoint 90 212
Space,  148
Space,  148
Space, Banach 210
Space, barrel 163
Space, compact 119
Space, conjugate 90 212
Space, dual 90
Space, eigen 49
Space, finite-dimensional 20
Space, H-describable 91
Space, Hausdorff topological 115
Space, Hilbert 19 137
Space, infinite-dimensional 20
Space, linear 19
Space, linear metric 121
Space, linear metric complete 133
Space, locally bounded 140
Space, locally compact 193
Space, locally convex 147
Space, metric 117
Space, metric complete 133
Space, normally splittable 306
Space, normed 150 210
Space, pre-Hilbert 130
Space, precompact 189
Space, principal 49
Space, projection 27
Space, quotient 23
Space, reflexive 213
Space, separable 116
Space, spanned by a set 19
Space, splittable 49 306
Space, subprojective 226
Space, superprojective 226
Space, total 91
Space, universal 232
Space, weakly fundamental 215
Spaces isomorphic 25 157
Span linear 19
Spectrum of an operator 49
Spectrum of an operator, discrete of an operator 49
Steinhaus, H. 163 164 226 369
Sternbach, L. 134
Subadditivity 122 144
Subalgebra 23
Subdivision of a curve 154
Subgroup 16
Subpararing 52
Subring 17
subspace 19
Subspace, complementary 161
Subtraction 16 26
Sum, algebraic 16
Sum, direct 21
Superposition of operators 26
Symbol Kronecker 66
System, determinant 104
System, Haar orthonormal 177
System, oriented 334
System, Rademacher 176
Sz.-Nagy, B. 162 367 370
Tcherskii, I.I. 368
Theorem on reduction first, second 100
Theorem on simultaneous approximation 296
Theorem on the continuity of the root number of an operator 309
Theorem on the representation of algebra 40
Theorem, Banach — Steinhaus 163
Theorem, Hahn — Banach 144 212
Thorp, E. 254
Topologies equivalent 115
topology 115
Topology of bounded convergence 161
Topology, compact with respect to the other topology 197
Topology, not coarser 115
Topology, not finer 115
Topology, not stronger 115
Topology, not weaker 115
Topology, strong 187
Topology, weak 215
Topology, weak of functionals 216
Transform Fourier 350
Transformation, continuous 118
Transformation, cosinus 353
Transformation, Hankel 352
Transformation, sinus 353
Triangle condition 122 210
Ultrafilter 119
UNIT 17
Value of a Cauchy integral principal 332
Value, regular of an operator 49
Vector principal 49
Vladimirski, I.N. 258 259 260 316
Volterra integral equation of the second kind 275
Volterra, V. 275
Warzecha, A. 370
Whitley, R.J. 226 228 231 232 255 266
Wiener, N. 370
Wilansky, A. 163 369
Williamson, J.H. 204 328 369
Yood, B. 367
Zelazko, W. 368
Zero element 16
Zippin, M. 221
Zorn, M. 16
Zygmund, A. 225
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