Singh R., Manhas J. — Composition Operators on Function Spaces (North-Holland Mathematics Studies) :: 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

Красота

Singh R., Manhas J. — Composition Operators on Function Spaces (North-Holland Mathematics Studies)

Singh R., Manhas J. — Composition Operators on Function Spaces (North-Holland Mathematics Studies)

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Composition Operators on Function Spaces (North-Holland Mathematics Studies)

Авторы: Singh R., Manhas J.

Аннотация:

This volume of the "Mathematics Studies" series presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed. This comprehensive and up-to-date study of composition operators on different function spaces should appeal to research workers in functional analysis and operator theory, postgraduate students of mathematics and statistics, as well as to physicists and engineers.
Read more at http://ebookee.org/Composition-Operators-on-Function-Spaces-North-Holland-Mathematics-Studies_1398054.html#YGBoc5spalTDZtik.99

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 321

Добавлена в каталог: 16.04.2014

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

Предметный указатель

$F_{1}$ -subspace      169
$F_{2}$ -subspace      169
$F_{3}$ -subspace      169
$H^{p}$ -spaces      7
$L^{p}$ -ergodic theorem      199
$L^{p}$ -spaces      4
$\ell ^{p}$ -direct sum of Banach spaces      179
$\ell ^{p}$ -spaces      5 7
$\omega$ -limit set      213
$\sigma$ -endomorphism      22
$\varepsilon$ -Almost period      223
$\varepsilon$ -Uniform Cauchy sequence      159
Absolutely continuous measure      17
Algebraic dual      10
Almost orbit      213
Almost periodic function      223 224
Anticonformal      272
Anticonformally equivalent      272
Asymptotically almost periodic function      211 226
Banach space with trivial hermitians      175
Banach — Stone Theorem      166
Bergman kernel      9
Bergman space      9
Bilateral shift operator      20
Birkhoff ergodic theorem      196
Bochner's theorem      223
Bounded below operator      129
Calkin algebra      42
Carleson measure      66
Centered operator      50
Compact operator      31 136 154
Composition operator      1
Conditional expectation      46
Conjugate transformations      204
Countable Lebesgue spectrum      203
Cross-section      1
Discrete dynamical system      191
Discrete spectrum      204
Disjoint support property      138 140
Doubly stochastic operator      192
Dynamical system      191
Eberlein weakly almost periodic      211
Elliptic transformation      73
Enveloping semigroup      209
Equality of measurable sets      27
Equi-asymptotically almost periodic      226
Equicontinuous discrete dynamical system      207
Equivalent $\sigma$ -algebras      28
Equivalent systems of weights      11
Ergodic doubly stochastic operator      199
Ergodic measure preserving transformation      199
Essential supremum      5
Essentially bounded measurable function      5
Essentially isometric operator      42
Essentially normal operator      42
Essentially unitary operator      42
Evaluation functional      6
Extreme point      166
Fixed point      56
Flow      209
Flow homomorphism      209
Flow isomorphism      210
Fredholm operator      42
Function algebra      154
Function module      268
Function, almost periodic      223 224
Function, asymptotically almost periodic      211 226
Function, Eberlein weakly almost periodic      211
Function, essentially bounded measurable      5
Function, lower semicontinuous      11
Function, space mean of      195
Function, strongly regular      213
Function, support of      28
Function, time mean of      195
Function, upper semicontinuous      11
Function, weakly almost periodic      225
Function, weakly asymptotically almost periodic      231
Functional Banach space      6
Generalised composition operator      21
Gleason parts      156
Hermitian operator      174
Hyperbolic transformation      73
Hyponormal operator      36
Infinitesimal generator      239
Invertible measurable transformation      27
Invertible operator      129
Kernel function      6
Kernel of homomorphism      179
Left invertible measruable transformation      27
Linear fractional transformation      73
Lipschitz algebra      265
Locally convex function spaces      10
Lower semicontinuous function      11
Measurable dynamical system      192
Measurable transformation      17
Minimal discrete semidynamical system      207
Moment sequence      46
Motion      191
Multiplication operator      25
Nearly open operator      118 125
Non-singular transformation      17

Normal operator      36
One-to-one measurable transformation      27
Onto measurable transformation      27
Operator, bilateral shift      20
Operator, bounded below      129
Operator, centered      50
Operator, compact      31 136 154
Operator, composition      1
Operator, doubly stochastic      192
Operator, esentially unitary      42
Operator, essentially isometric      42
Operator, essentially normal      42
Operator, Fredholm      42
Operator, generalised composition      21
Operator, hermitian      174
Operator, hyponormal      36
Operator, invertible      129
Operator, multiplication      25
Operator, nearly open      118 125
Operator, normal      36
Operator, quasinormal      36
Operator, quasiunitary      42
Operator, seminormal      36
Operator, subnormal      46
Operator, unilateral shift      21
Operator, unitary      36
Operator, weighted bilateral shift      20
Operator, weighted composition      1
Orbit      191
Parabolic transformation      73
Poincare recurrence theorem      193
Quasinormal operator      36
Quasiunitary operator      42
Radon — Nikodym derivative      17
Recurrent discrete semidynamical system      207
Reducing subspace      48
Relatively dense      223 226
Reproducing kernel      6
Right invertible measurable transformation      27
Semidynamical system      191
Semigroup of operators      232
Semigroup of operators, $C_{0}$       210 233
Semigroup of operators, strongly continuous      233
Semigroup of operators, uniformly continuous      232
Seminormal operator      36
Semitransformation group      209
Space mean of function      195
Spectrally isomorphic measure preserving transformations      203
Standard Borel space      5
Strictly ergodic discrete semidynamical system      207
Strong-mixing measure preserving transformation      201
Strongly regular function      213
Subnormal operator      46
Super contraction      266
Support of a function      28
System of weights      11 13
Szego kernel      8
Theorem, $L^{p}$ -ergodic      199
Theorem, Banach — Stone      166
Theorem, Birkhoff Ergodic      196
Theorem, Bochner's      223
Theorem, Poincare recurrence      193
Time mean of function      195
Transformation group      191
Transformation, conjugate      204
Transformation, elliptic      73
Transformation, ergodic measure preserving      199
Transformation, hyperbolic      73
Transformation, invertible measurable      27
Transformation, left invertible measurable      27
Transformation, linear fractional      73
Transformation, measurable      17
Transformation, non-singular      17
Transformation, one-to-one measurable      27
Transformation, onto measurable      27
Transformation, parabolic      73
Transformation, right invertible measurable      27
Transformation, spectrally isomorphic measure preserving      203
Transformation, strong mixing measurable preserving      201
Transformation, weak mixing measure preserving      201
Unilateral shift operator      21
Uniquely ergodic discrete semidynamical system      207
Unitary operator      36
Upper semicontinuous function      11
Vanishes at infinity      137
Vector fibration      1
Weak $\Omega$ -limit set      213
Weak mixing measure preserving transformation      201
Weakly almost periodic      225
Weakly asymptotically almost periodic      231
Weight      11 13
Weighted bilateral shift operator      20
Weighted composition operator      1
Weighted composition semigroup      244
Weighted doubly infinite sequence space      20
Weighted endomorphism      154
Weighted sequence space      5
Weighted translation semigroup      257
Weighted translation semigroup, hyponormal      258
Weighted translation semigroup, normal      258
Weighted translation semigroup, quanninormal      258
Weighted translation semigroup, subnormal      258

Реклама

© Электронная библиотека попечительского совета мехмата МГУ, 2004-2024

Электронная библиотека мехмата МГУ

Valid HTML 4.01!

|

Valid CSS!

О проекте