Hewitt E., Stromberg K. — Real and abstract analysis: a modern treatment of the theory of functions of a real variable :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Hewitt E., Stromberg K. — Real and abstract analysis: a modern treatment of the theory of functions of a real variable

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Real and abstract analysis: a modern treatment of the theory of functions of a real variable

Авторы: Hewitt E., Stromberg K.

Аннотация:

Hewitt E., Stromberg K. Real and abstract analysis (Springer, 1965, 1975 printing)(ISBN 0387901388)

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1975

Количество страниц: 486

Добавлена в каталог: 07.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Ordered field, supremum in an      44
Ordered set, linearly      8
Ordered set, partially      8
Ordered set, well      8
Ordering, linear      8
Ordering, partial      8
Ordering, well      8
Ordinal number      28
Orlicz spaces      203
Orthogonal complement      252
Orthogonal dimension of $\mathfrak{L}_{2}$       255
Orthogonal dimension of a Hilbert space      247
Orthogonal vectors      236
Orthonormal set      236
Orthonormal set, complete      240 242
Orthonormalization process, Gram — Schmidt      240
Oscillation function      78
Outer measure      126
Outer measure induced by a nonnegative linear functional      120
Outer measure, Lebesgue      120
Outer measure, Lebesgue — Stieltjes      120
Outer measure, metric      144
Outer measure, regular      143
Oxtoby, J. C.      137
Parallelogram law      235
Parallelotope, Hilbert      254
Parseval’s identity      245 246 250
Partial ordering      8
Partially ordered set      8
Peano, G.      9
Perfect set      70
Perfect sets, uncountability of      72
Permutation      30
Phillips, K. L.      429
Plancherel transform      411
Plancherel’s theorem      411
Point mass, unit      120
Point of density of a set      274
Point, continuity at a      73
Point, isolated      70
Point, Lebesgue      278
Point, limit      56
Pointwise limits of continuous functions      79
Pointwise operations and relations      82
Poisson’s kernel      301
Polar identity      235
Polynomials, Hermite      243
Polynomials, trigonometric      248
Poretsky      6
Positive kernel      400
Positive variation of a signed measure      307
Power set      3
Pre — Hilbert space      195
Product $\sigma$ -algebra      379
Product measures      384
Product measures, absolute continuity of infinite      453
Product measures, infinite      432
Product measures, regularity of      389
Product measures, singular measures induced by infinite      456
Product measures, singularity of infinite      453
Product of a family of sets, Cartesian      12
Product of topological spaces, Cartesian      65
Product of two sets, Cartesian      7
Product topology      65
Products of Banach spaces      217 221
Products of measure spaces, finite      384
Products of measure spaces, infinite      429
Projection in a Hilbert space      253
Projection onto a coordinate space      65
Proper subset of a set      2
Purely discontinuous measure      334
Pythagorean Theorem      236
Quaternions      102
Quotient spaces of Banach spaces      221
Radon measure      114
Radon — Nikod $\acute{y}$ m theorem      see Lebesgue — Radon — Nikod $\acute{y}$ m Theorem
Radon — Riesz theorem      233
Radon, J.      422
Range of a relation      7
Real number field      46
Real number field, automorphisms of the      48
Real numbers      2
Real numbers, expansions of      46 47
Real numbers, extended      54
Real part of a complex number      48
Rectangle, measurable      379
Reflection of a function      110
Reflexive Banach space      215
Regular Borel measure, complex      360
Regular Borel measures on       329
Regular finitely additive measure      364
Regular measure      177 185
Regular measure, Lebesgue-Radon-Nikod $\acute{y}$ m theorem for      323
Regular outer measure      143
Regularity of product measures      389
Relation      7
Relation, domain of a      7
Relation, equivalence      8
Relation, extension of a      8
Relation, inverse of a      7
Relation, one-to-one      9
Relation, range of a      7
Relation, restriction of a      8
Relation, single valued      9
Relations, composition of      8
Relations, pointwise operations and      82
Relative topology      60
Relatively open      61
Representation theorem, F. Riesz’s      177 364
Restriction of a relation      8
Riemann integrability      183
Riemann integral      107
Riemann integral, Lebesgue integral as an extension of the      184
Riemann — Lebesgue lemma      249 401
Riemann — Stieltjes integrable function      106
Riemann — Stieltjes integral      106
Riesz representation theorem      177 364
Riesz — Fischer theorem      250
Riesz, F.      156 230
Right continuous      111
Right derivative      257
Right hand limit      111
Ring      33
Ring of sets      4
Ring of sets, a      4
Ring, boolean      5
Ring, commutative      33
Ross, K. A.      137 378 445
Rudin, W.      98 419
Ruziewicz. S.      297
Saks, S.      133 297 300 328
Saltus function      335
Scalar multiplication      17
Schr $\ddot{o}$ der — Bernstein theorem      20
Schwartz, J.      210 353
Schwarz’s inequality      190 234
Second category      68
Second conjugate space      211
Second Mean Value Theorem for integrals      420
Section of a function      379
Section of a set      379
Segment      see Initial segment
Semicontinuous function, lower      88
Semicontinuous function, upper      88
Separable space      61
Separating family of functions      93
SEQUENCE      10
Sequence, bounded      38
Sequence, Cauchy      38 67
Sequence, convergent      62

Sequence, limit of a      62
Sequence, monotone      76
Sequence, null      38
Sequence, term of a      10
Sequences of functions, uniformly integrable      204
Sequences, ultimately equal      443
Sequentially compact space      62
Series, Abel summability of Fourier      301
Series, arithmetic means for a Fourier      292
Series, binomial      90
Series, Ces $\grave{a}$ ro summability for Fourier      293
Series, divergent Fourier      300
Series, Fourier      245 291
Series, uniform summability of Fourier      300
Set      1
Set, $G_{\sigma}$       68
Set, $\sigma$ -compact      138
Set, $\sigma$ -finite      138
Set, Cantor      13 70
Set, Cantor-like      70
Set, complement of a      4
Set, complete orthonormal      240 242
Set, convex      252
Set, countable      22
Set, countably infinite      22
Set, denumerable      22
Set, diameter of a      67
Set, distance from a point to a      77
Set, enumeration of a      22
Set, finite      21
Set, infinite      21
Set, linearly ordered      8
Set, locally null      122 346
Set, measurable      127
Set, nowhere dense      68
Set, null      122
Set, open      55
Set, orthonormal      236
Set, partially ordered      8
Set, perfect      70
Set, power      3
Set, section of a      379
Set, singleton      2
Set, subset of a      2
Set, uncountable      22
Set, void      2
Set, well-ordered      8
Set, $F_{\sigma}$       6 8
Sets, $\sigma$ -algebra of      4
Sets, $\sigma$ -ring of      4
Sets, algebra of      4
Sets, analytic      133
Sets, Baire      164
Sets, Borel      132
Sets, cartesian product of      7 12
Sets, disjoint      3
Sets, distance between two      78
Sets, equivalent      19
Sets, intersections of      2
Sets, lattice of      148
Sets, Lebesgue measurable      128
Sets, mappings of measurable      150 269 288 297
Sets, measurable      138
Sets, nonmeasurable      135 146
Sets, ring of      4
Sets, symmetric difference of two      4
Sets, union of      2
Setwise limits of measures      339
sgn      52
Sierpinski, W.      133 147
Signed measure      304
Signed measure, derivative of a      366
Signed measure, Jordan decomposition of a      307
Signed measure, Jordan decomposition of a finitely additive      338
Signed measure, negative variation of a      307
Signed measure, nonnegative set for a      305
Signed measure, nonpositive set for a      305
Signed measure, positive variation of a      307
Signed measure, total variation of a      307
Signum      52
Simple functions      159
Simple functions, approximation by      159
Single valued relation      9
singleton set      2
Singular function      278
Singular function, Lebesgue’s      113
Singular measures      326
Singular measures induced by infinite product measures      456
Singularity of infinite product measures      453
Sobczyk, A.      213
Space, $\sigma$ -compact      125
Space, $\sigma$ -finite measure      127
Space, adjoint      211
Space, Banach      84
Space, compact      62
Space, complete metric      67
Space, conjugate      211
Space, conjugate of a Banach      211
Space, connected      57
Space, dual      211
Space, Euclidean      13
Space, Fr $\acute{e}$ chet compact      62
Space, Hausdorff      56
Space, Hilbert      196 235
Space, inner product      195 234
Space, linear      17
Space, locally compact      74
Space, measurable      149
Space, measure      126
Space, metric      59
Space, normed linear      83
Space, pre — Hilbert      195
Space, reflexive Banach      215
Space, second conjugate      211
Space, separable      61
Space, sequentially compact      62
Space, topological      55
Space, unitary      13
Space, vector      17 31
Spaces, $\mathfrak{L}_{1}$       173
Spaces, $\mathfrak{L}_{p}$       173
Spaces, $\mathfrak{L}_{\infty}$       347
Spaces, Birnbaum — Orlicz      203
Spaces, Cartesian product of topological      65
Spaces, uniform      87
span      19
Span, linear      19
Sparre Andersen, E.      373
Steinhaus theorem      143
Steinhaus, H.      143
Step function      198
Stieltjes      see Riemann — Stieltjes and Lebesgue — Stieltjes
Stone — Weierstrass theorem      94 95
Stone — Weierstrass theorem, complex version of      97
Stone — Weierstrass theorem, other versions of      98
Stone, M. H.      5 90
Strictly decreasing function      105
Strictly increasing function      105
Strong Law of Large Numbers      447 449
Subbase for a topology      58
Subbase theorem, Alexander’s      64
Subcover      62
Subdivision of an interval      105
Sublinear functional      212
Subsequence      62
Subset of a set      2
Subset of a set, proper      2
Subspace of a topological space      60
Subspace, orthogonal complement of a      252
Substitution, integration by      342

1 2 3 4 5

О проекте