Przeworska-Rolewicz D., Rolewicz S. — Equations in linear spaces :: Электронная библиотека попечительского совета мехмата МГУ

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Przeworska-Rolewicz D., Rolewicz S. — Equations in linear spaces

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Название: Equations in linear spaces

Авторы: Przeworska-Rolewicz D., Rolewicz S.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 383

Добавлена в каталог: 11.11.2012

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Предметный указатель

$B^{*}_{0}$ -space      148
$B_{0}$ -space      148
$d_{H}$ -characteristic      94
$\Phi$ -operator      184
$\Phi$ -point      298
$\Phi$ -set      298
$\Phi_{+}$ -operator      184
$\Phi_{-}$ -operator      184
$\Phi_{H}$ -operator      94
$\varepsilon$ -net      189 287
$\varepsilon$ -net, finite      189
$\xi$ -topology      150
( $\Xi$ , H)-Quasi-Fredholm ideal      97
A-co-semicompact operator      317
A-compact operator      198
A-continuous operator      162
A-perturbation of an operator      38
A-semicompact operator      317
Abelian group      16
Accumulation point      116
Addition      16 51
Adjoint operator      90
Adjoint space      90 212
Akilov, G.L.      358
Alaoglu, L.      216
Algebra      23
Algebra, Banach      238
Algebraic element      68
Algebraic operator      81
Algebraic product      17
Algebraic sum      16
Almost algebraic element      68
Alternative Fredholm      323
Analytic function      156
Aoki, T.      141 369
Arc, regular closed      331
Arc, regular open      331
Arlt, D.      295
Arzela theorem      195
Arzela, C.      195
Associative operation      16
Atkinson, F.V.      185 367
Baire, R.      133
Balanced set      120
Banach algebra      238
Banach paraalgebra      238
Banach space      210
Banach — Steinhaus theorem      163
Banach, S.      144 163 164 165 183 210 212 218 224 227 232 236 238 369
Barrel      163
Barrel space      163
Bases equivalent      171
Basis of a linear space      20
Basis, block-homogeneous      221
Basis, homogeneous      221
Basis, orthogonal      175
Basis, orthonormal      175
Basis, Schauder      168
Basis, standard      174
Basis, unconditional      221
Berkson, E.      289
Bessaga, C.      222 227
Bessel function      352
Bessel, F.      352
Bimoduli over rings      52
Borsuk, K.      291
Boundary      116
Bounded operator      158
Bounded set      140
Bounded space locally      140
Bourbaki, N.      119 190 369
Buniakowski — Schwarz inequality      355
Buniakowski, W.      355
Buraczewski, A.      368
Cauchy integral      331
Cauchy sequence      132
Cauchy, A.      132 331 332
Characteristic, $d_{H}$ -      94
Characteristic, dimensional (d - characteristic)      29
Characteristic, polynomial      68
Characteristic, root      68
Circled set      120
Classification of linear topological spaces      149
Closed operator      182
Closed set      115
Closure of a set      116
Cluster point      116
Codimension (defect) of a subspace      23
Cohen, L.W.      180 193
Cokernel      29
Commutative group      16
Commutative pair of elements      18
Commutative ring      18
Commutator      74
Complement of a set      115
Complement, H-orthogonal      91
Complementary subspace      161
Completion of the space      132
Condition, distributivity      16
Condition, Hoelder      24
Condition, Lipschitz      24
Condition, triangle      122
Convergence of a sequence of polynomials      168
Convergence, $\Xi$ -      151
Convergence, weak      215
Convergence, weak of functionals      216
Cordes, H.O.      295 370
Coset      19
Cosinus transformation      353
Covering of a set      118
d-characteristic      29
d-characteristic, finite      29
d-characteristic, semifinite      29
Defect (codimension) of a subspace      23
Defect of the determinant system      105
Deficiency of the operator      29
Determinant system      104
Dieudonne, J.      367
Difference of elements      16
Difference of operators      26
Dimension of a space      20
Dimension of an operator      33
Dimension, linear      223
Dirac, A.M.      368
Direction of the projection      27 226
Distance between a point and a space      286
Distance of spaces      287
Distance of two closed operators      289
Distributivity condition      16
Domain of an operator      25
Douady, A.      295
Dual space      90
Dunford — Pettis property      263
Dunford, N.      180 193 214 215 218 263 265 266 367 369
Eberlein, W.F.      216 217
Eidelheit, M.      369
Eigenspace      49
Eigenvalue of an operator      49
Eigenvector of an operator      49
Element of a pararing      53
Element, algebraic      68
Element, almost algebraic      68
Element, commutative      18
Element, invertible      17
Element, left-invertible      17
Element, linearly dependent      20
Element, linearly independent      20
Element, neutral      16
Element, right-invertible      17
Element, zero      16

Embedding of a space      213
Embedding, natural      90 213
Epimorphism      25 213
Equations with degenerated kernels      36
Equicontinuous family of operators      163
Equivalent metrics      117
Equivalent norms      122 239
Equivalent topologies      115
Extension of an operator      27
Factor group      19
Family fundamental      131
Feldman, I.A.      243 295 311 367 368
Field      18 242
Field, normed      242
Filter      119
Fourier transform      350
Fourier, J.B.J.      42 57 59 323 368
Fredholm, alternative      323
Fredholm, ideal      42 57
Function, analytic      156 241
Function, analytic in the domain      302
Function, Bessel      352
Function, integrable      153
Function, non-integrable      153
Functional continuous linear      212
Functional, basis      170
Functional, k-linear      103
Functional, linear      27
Functional, skew-symmetric      104
Gantmacher, V.R.      252 370
Gap of subspaces      286
Gelfand, I.M.      242 369
Gohberg, I.C.      184 283 284 285 287 293 294 295 298 309 311 367 368 370
Goldberg, S.      254
Goldman, M.A.      286
Goldstine, H.H.      215
Graph of an operator      25 289
Grothendieck, A.      263 265 266 368
Group quotient      19
Group, abelian      16
Group, commutative      18
Group, factor      19
H-describable subspace      91
H-index      94
H-orthogonal complement      91
Haar system      177
Haar, A.      177
Hahn — Banach theorem      144 21
Hahn, H.      144 212 369
Halilov, Z.I.      367 368
Hankel, H.      352
Hankel, operator      352
Hankel, transformation      352
Hausdorff topological space      115
Hausdorff, F.      115 370
Hermite interpolation formula      65
Hermite, Ch.      65 67
Hilbert space      137
Hilbert, D.      130 137
Hildebrandt, T.H.      369
Hoelder, condition      24
Hoelder, inequality      355
Hoelder, O.      24 355
Homogeneity      144 210
Homogeneity, positive      144
Hull convex      143
Hyers, D.M.      369
Ideal, ( $\Xi$ , H)-quasi-Fredholm      97
Ideal, Fredholm      42 57
Ideal, left      18 53
Ideal, maximal      18
Ideal, negative semi-Fredholm      59
Ideal, positive semi-Fredholm      59
Ideal, proper (non-trivial)      18 53
Ideal, quasi-Fredholm      42 57
Ideal, right      18 53
Ideal, trivial      18 53
Ideal, two-sided      18 53
Identity      26
Index of an operator      30
Inequality, Buniakowski — Schwarz      353
Inequality, Hoelder      355
Inequality, Kaczmarz      226
Inequality, Khintchine      225
Inequality, Minkowski      126 356
Inequality, Paley — Zygmund      225
Inequality, Schwarz      130
Inequality, triangle      117 210
Integral, Cauchy      331
Integral, Riemann      153
Integral, singular      332
Interior of a set      116
Inverse of an element left, right      17
Inverse of an operator      25
Inverse of an operator left, right      40
Involution      68
Isometry      159
Isomorphism      25
Jacobson, N.      18 52
Kaczmarz inequality      226
Kaczmarz, S.      226
Kadec, M.I.      228 229 230
Kakutani, S.      121
Kantorovitch, A.V.      368
Kaplansky, I.      82 167 368
Kato operator      252
Kato, T.      252 253 315 316 367 370
Kernel      29
Kernel, integral of an operator      201
Kernel, iterated      276
Khintchine inequality      225
Khintchine, A.      225
Klee, V.L.      134
Kleinecke, D.      367
Koch, H.      368
Krasnosielski, M.A.      287 291
Krein, M.G.      184 218 219 283 284 285 287 291 293 298 309 367
Kronecker symbol      66
Kronecker, L.      66
Kuiper, N.H.      295
Kuratowski — Zorn Lemma      16
Kuratowski, K.      16
Labrousse, J.P.      295 370
Lagrange interpolation formula      67
Lagrange, J.L.      67
Lemma of Kuratowski — Zorn      16
Lemma on a partition of unity      67
Leray, J.      191 328 369
Lezanski, T.      368
Limit of a sequence      117
Limit, point      116
Linearly dependence (independence) of elements of a set      20
Linearly independence of a set      20
Lipschitz condition      24
Lipschitz, R.O.S.      24
Manifold linear      19
Markus, A.S.      243 287 295 311 367 368
Maximal ideal      18
Mazur, S.      134 148 154 155 232 236 242 369
Measure regular      128
Method of variation of a constant      58
Metric      117
Metric, invariant      121
Metrics equivalent      117
Mihlin, S.G.      349 367
Milman, D.P.      219 287 291
Minkowski inequality      126 356
Minkowski, H.      126 356
Minors      105
Modulus of concavity      141

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