Kirillov A.A., Gvishiani A.D., McFaden H.H. — Theorems and Problems in Functional Analysis :: 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

Kirillov A.A., Gvishiani A.D., McFaden H.H. — Theorems and Problems in Functional Analysis

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Theorems and Problems in Functional Analysis

Авторы: Kirillov A.A., Gvishiani A.D., McFaden H.H.

Аннотация:

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 355

Добавлена в каталог: 09.02.2014

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

Предметный указатель

Set, measurable, in the Carath $\acute{e}$ odory sense      154
Set, of $\sigma$ -uniqueness of a measure      154
Set, pre-compact      54
Set, well-ordered      5
Signed measure (complex measure)      17
Signum, -adic      144
Similar matrices      220
Slowly increasing sequence (sequence of moderate growth)      109
Space, Banach      42
Space, cohomology      60
Space, Hausdorff (separated)      41
Space, Hilbert      85
Space, linear topological      39
Space, locally compact      96
Space, locally convex      40
Space, metrizable      41
Space, normable      41
Space, normed      41
Space, of almost periodic continuous functions      198
Space, of compactly supported infinitely differentiable functions      71
Space, of infinitely differentiable functions      70
Space, of rapidly decreasing infinitely differentiable functions      72
Space, polynormed      40
Space, pre — Hilbert      84
Space, reflexive      43
Space, strong dual      42
Spectral decomposition of an operator      134
Spectral measure      134
Spectral radius of an operator      121
Spectrum of an operator      118
Square root of an operator      202
Subset, Borel      13 151
Subset, cylindrical      20
Sum of objects in a category      146
Support of a function      71
Support of a generalized function      79
Symmetry      3
System, Haar      199
System, Rademacher      199
System, Walsh      199
Tensor algebra      146
Tensor product      49 147

Theorem, Arzel $\grave{a}$ — Ascoli      57
Theorem, Banach inverse mapping (open mapping)      53
Theorem, Banach — Steinhaus      51
Theorem, Courant      93
Theorem, Egorov      24
Theorem, Fubini      35
Theorem, Hahn — Banach      44 45
Theorem, Helly’s      44 176
Theorem, Helly’s, first      188
Theorem, Helly’s, second      188
Theorem, Hilbert      93
Theorem, kernel      194
Theorem, Krein — Mil’man      56
Theorem, Lebesgue      15
Theorem, Lebesgue, dominated convergence      31
Theorem, Luzin      159
Theorem, monotone convergence (of B. Levi)      32
Theorem, Nikol’skii      62
Theorem, Paley — Wiener      113 215
Theorem, Radon — Nikodym      36
Theorem, Riesz      63
Theorem, Stone’s      134
Theorem, Tychonoff      313
Theorem, von Neumann’s ergodic      229
Theorem, Weierstrass      77 205
Theorem, Zermelo’s      5
Topology, convex core      171
Topology, strong operator      50
Topology, uniform      50
Topology, weak      42
Topology, weak operator      50
Topology, weak-      42
Torus, -dimensional      96
Trace of an operator      203
Transitivity      3
Uniformly bounded family of operators      51
Universal repelling object      8
Vacuum vector      213
Variation of a function      19
Variation of a signed measure      17
Weyl criterion      229
Word      241

1 2

О проекте