Hille E. — Methods in classical and functional analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Hille E. — Methods in classical and functional analysis

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Название: Methods in classical and functional analysis

Автор: Hille E.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1972

Количество страниц: 494

Добавлена в каталог: 05.05.2013

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Предметный указатель

      201
-difference equation      376
$\check{C}$ eby $\check{s}$ ev constants      459-464
$\check{C}$ eby $\check{s}$ ev polynomials      459 464
$\check{C}$ eby $\check{s}$ ev polynomials, center of algebra      277
$\check{C}$ eby $\check{s}$ ev polynomials, quadric      42
$\check{C}$ eby $\check{s}$ ev, P. L.      459
Abelian      295
Abstract holomorphic functions      249-258
Abstract polynomials      264 274
Abstract Riemann — Stieltjes integrals      230-236
Abstract spaces      51
Acz $\acute{e}$ l uniqueness theorem      427
Acz $\acute{e}$ l – Hossz $\acute{u}$ theorem      430 448
Acz $\acute{e}$ l, J.      422 426 429 430 435 437 439
Addition matrix      19
Addition sequence      86
Addition theorems      376 424 435
Addition vector      2 8 52
Additive function      380 422
Additive functional      471
Additive group      52
Additive measure      113
Additive set function      468
Additive space      385
Adverse      279
Albert, A. A.      411
Algebra, abelian      295
Algebra, associative      20
Algebra, Banach      80-84 276-304
Algebra, center of      277
Algebra, commutant of      295
Algebra, commutative      20 276
Algebra, distributive      20
Algebra, Hausdorff      225
Algebra, non-associative      20
Algebra, non-commutative      20 276
Algebra, quotient, (= residue class)      292
Algebra, sigma      112
Algebra, simple      290
Algebra, topological      225
Almost everywhere      113
Analytic continuation      256 262 271
Analytic Fr $\acute{e}$ chet      264 275
Analytic Lorch      275
Analytic, $\mathfrak{X}$       254
Angular semi-module      386
Antiderivation      372 379
Antisymmetry      162
Approximation theorems, Bernstein      10
Approximation theorems, Landau      106
Approximation theorems, Lebesgue      100 158
Approximation theorems, Weierstrass      99
Approximations, successive      194-199
Arithmetic means      95 428 434 440 448 467
Arzel $\grave{a}$ , G.      98
Ascoli, C.      98
Ascoli, equi-continuity      97
Automorphism      79
Average      437
Average, A      437
Average, moving      148
axes      1
Axiom of Choice      163
Bachman, G.      50 85
Baire, category      160
Baire, R. L.      160
Banach, algebra      80-84 276-304
Banach, closed graph theorem      312
Banach, Fixed Point Theorem      169-172
Banach, Hahn — B. extension theorem      318
Banach, S.      95 159 187 311
Bartle, R. G.      111
Basis      3 11
Basis, orthogonal      3 11
Basis, orthogonulization process      3-7 12 69
Basis, orthonormal      3 12
Bernstein approximation theorem      101
Bernstein polynomials      101 343
Bernstein, S. N.      100 343
Bessel functions      71
Bessel inequality      71 150
Bessel, F. W.      71
Birkhoff — Kellogg theorem      159
Birkhoff, G.      248
Birkhoff, G. D.      159
Blaschke function of support      394
Blaschke, W.      394 411
Block      115
Bochner, S., integral      236-248
Bohnenblust, H. F., — Sobczyk theorem      319
Bohr, H., almost periodic functions      353
Bolzano, B., — Weierstrass theorem      98 160
Bonsall, F. F.      187
Borel sets      146 468
Borel, E.      468
Borel, Heine — B. theorem      160
Borel-property      160
Boundedness      305-310
Boundedness, principle of uniform      212-217
Bounyakovsky — Schwarz inequality      139
Bounyakovsky, V. J.      139
Bourbaki, N.      15 409
Bourlet operators      424
Bourlet operators, derivation      424
Bourlet operators, multiplication      426
Bourlet operators, substitution      426
Bourlet, C.      435
Box product      395
Brillouin, L.      416 435
Brouwer, L. E. J.      159
Brouwerfixed point theorem      159
Cacciopolli, R.      159
Capacity,       470
Capacity, logarithmic      473
Capacity, Newtonian      469
Carath $\acute{e}$ odory functional inequality      366
Carath $\acute{e}$ odory measure theory      115
Carath $\acute{e}$ odory, C.      115 158 366
Carleson, L.      468 474
Carlfman inequality      451
Carlfman, T.      341 381 451
Carlson, F.      264
Cartwright, M.      411
Category, Baire      160
Cauchy       201
Cauchy estimates      254
Cauchy first theorem      95
Cauchy functional equations      418-428
Cauchy induction argument      401 441
Cauchy integral      254
Cauchy majorant      201
Cauchy product      94
Cauchy product theorem      201
Cauchy sequences      54
Cauchy sequences, equivalence classes of      160
Cauchy, A. L.      7 201 204 401 435 441
Cayley operator      335 359
Cayley — Hamilton theorem      34
Cayley, A.      34
Ces $\grave{a}$ ro, (C, 1)-summability      95 185
Ces $\grave{a}$ ro, E.      95
Characteristic equation of matrix      29 34
Characteristic function of sets      134
Characteristic root-see characteristic value characteristic space      37
Characteristic value of integral equation      179 184
Characteristic value of matrix      29-33 36-39 44-50 185 342
Characteristic value of operator      65 80 179 328 337 341
Characteristic vector      37 44 45 80 328 337 341
Choquet, G.      468 474

Closed graph theorem      312
Closure      310-316
Closure relation      151 154 158
Cocountable      111
Cofactor      22
Commutant      295
Commutator      296
Compactedness theorem      98 151
Compactness      98 160
Compactness, conditional      160
Compactness, sequential      161
Compactness, weak      222
Complement, orthogonal      76 332
Completeness, of       97
Completeness, of $l_{p}$       88 161
Completeness, of $L_{p}[a, b]$       140-143
Completeness, weak      221
Cone      13
Cone, positive      164
Conjugation      78
Consistency theorem      450
Continuity, modulus of      97 145 149
Continuity, strong, uniform, weak of operator functions      227
Continuity, strong, weak- of vector functions      226
Continuity, uniform- scalar functions      97
Continuous functions      96-107
Continuous spectrum      328-387
Contraction, fixed point theorems      169-173
Contraction, mappings      165-169
Contractive mappings      173-175
Convergence      54
Convergence, absolute      230
Convergence, dominated, (integrals)      136 240
Convergence, monotone      126 238
Convergence, sense of metric      13 26 54 159
Convergence, strong      218
Convergence, unconditional      230
Convergence, uniform      97
Convergence, weak      221
Convex functions      400-406
Convex solid      12 396-399
Convexity      12
Convolution in $L_{1}(-\infty, \infty)$       138
Convolution in $L_{2}(-\pi, \pi)$       156 178
Coordinates, Cartesian, I covering      160
Cram $\acute{e}$ r, H.      264
Cryptoanalysis      412-417
Cylinder      124
Dar $\acute{o}$ czy, Z.      419 435
Darboux, G.      418 435
de Finetti, B.      437
Determinant      3
Determinant, nullity      17
Determinant, of matrix      15
Determinant, rank      17
Determinative inequalities      363 364-367
Difference set      218 296
Differentiability, strong, weak      227
Differentiability, uniform of holomorphic functions      250
Differential inequality      365
Differential, Fr $\acute{e}$ chet      266
DIMENSION      8 11 17 53
Dirichlet, kernel      151
Dirichlet, P. G. L.      151
Dirichletoperator      360
Dirichletproduct      94
Disphere      192
Dissolvent      280-290
Dissolvent equations      287 417
Dissolvent, expansion at infinity      288
Dissolvent, operational calculus      303 304
Distance      9 39 40 159
Domain = open connected set      264
Domain of transformation      14 305
Dominated Convergence Theorem      136 240
Dunford addition formulas      424 435
Dunford bounded variation      229
Dunford integral      248
Dunford, N.      229 248 249 304 330 361 430
D’Alembert, J.      434
Edelstein, M., fixed point theorem      173
Eggleston, E. G.      408 411
Egyptian Institute      70
Eigen-see characteristic element, divisor of zero      277
Element, idempotent      277
Element, inverse, invertible      277
Element, maximal      163
Element, member      13
Element, negative      52
Element, neutral      165 279
Element, nilpotent      277
Element, positive      162
Element, quasi-nilpotent      277
Element, regular      81 277
Element, reversible      279
Element, singular      81 277
Element, unit      81
Element, zero      52
Endomorphism      57
Epsilin, B.      158 330 361
Equality      52
Equations characteristic      29 34
Equicontinuity      97
Equilibrium distribution, potential      469
Equilocally bounded      272
EQUIVALENCE      134
Equivalence class      146 160
Equivalence class, modulo maximal ideal      292
Extension, Bohnenblust — Sobczyk theorem      319
Extension, Hahn — Banach theorem extension, principal      297
Exterior conformal mapping radius      472
Fantappie, L.      249
Fatou, P., Fatoulemma      136 239
Fej $\acute{e}$ r, L.      151
Fej $\acute{e}$ rkernel      151
Fej $\acute{e}$ rtheorem      157
Fekete, M.      456 460 471
Feketeexterior conformal mapping radius      472
Feketepolynomial      471
Feketetransfinite diameter      456 458
Fermi, E., Thomas — F. equation      416
Field, rational      160
Field, rational, extension of      420
Field, scalar      52
Field, sigma      112
Fischer, E.      156
Fischer, E., Riesz — F. theorem      156
Fixed point theorems, Banach      169-188
Fixed point theorems, Brouwer      159
Fixed point theorems, Edelstein      173-175
Fixed point theorems, Volterra      176-177
Fomin, S. V.      84
Form, Hermitian      42-49
Form, polar      43
Form, quadratic      42 49
Fourier coefficients      69 149
Fourier series      69 149-158
Fourier transformation      360
Fourier, J.      69 184
Fr $\acute{e}$ chet analytic      296-304
Fr $\acute{e}$ chet functionals on $L_{2}$       146
Fr $\acute{e}$ chet metric      87
Fr $\acute{e}$ chet, M.      55 249
Fr $\acute{e}$ chetdifferentiable, differentials      265
Fredholm integral equation      178-184
Fredholm, I.      178-184
Frobenius matrix norm      25
Frobenius, G.      25
Frostman, O.      468
Fubini theorem      135

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