Kreyszig E. — Introductory functional analysis with applications :: Электронная библиотека попечительского совета мехмата МГУ

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Kreyszig E. — Introductory functional analysis with applications

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Название: Introductory functional analysis with applications

Автор: Kreyszig E.

Аннотация:

Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 688

Добавлена в каталог: 12.09.2007

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

Предметный указатель

Space, Banach      58
Space, complete      28
Space, conjugate      120
Space, dual      120
Space, finite dimensional      54 72 96 11
Space, Hilbert      128
Space, inner product      128
Space, linear      50
Space, metric      3
Space, normed      58
Space, pre — Hilbert      128
Space, reflexive      241
Space, topological      19
Space, vector      50
span      53
Spanned      53
Spectral family      494 501 516
Spectral mapping theorem      381
Spectral radius      3 8 391 400
Spectral theorem      505 514 551 558
Spectral theory      363
Spectral value      371
Spectrum      365 371 390 396
Sphere      18
Spherical Bessel functions      607
Spherical harmonics      602
Spherical waves      600
SPLINE      356
Square root      476
Square sum criterion      314
State      574
Steklov’s. theorem      280
Stieltjes integral      226
Strictly convex      332
Strong convergence      256 266
Strong limit      257 266
Strong operator convergence      264
Strong operator limit      264
Subadditive      214
Subfamily      617
Sublineal functional      213
Subsequence      31
Subset      609
Subspace of a Banach space      67
Subspace of a Hilbert space      140
Subspace of a metric space      4
Subspace of a normed space      67
Subspace of a vector space      53
Subspace of an inner product space      140
Successive corrections      311
Successive corrections of a series      68
Successive corrections of linear operators      118 528
Successive corrections of projections      484
Successive corrections of vector spaces      146
Summability metnod      269
Sup      619
Surjective      614
Symmetric linear operator      533
Symmetric matrix      203

Tchebichef      see Chebyshev
Three-eights, rule      284
Toeplitz limit theorem      270
Topological space      19
topology      19
Total ordering      210
Total orthonormal set      168 212
Total set      168
Total variation      225
Totally bounded      412
Totally ordered set      210
Trace of a matrix      368
Transformation      613
Translation mvarmnce      63
Trapezoidal rule      282
Triangle inequality      3 9 13
Trigonometric seres      160
Tunnel effect      597
Unbounded operators      291 523
Uncertainty principle      580
Uniform approximation      336
Uniform boundedness theorem      249
Uniform convergence      37
Uniform metric      37
Uniform operator convergence      263
Uniform operator limit      264
union      609
Uniqueness theorem for best apnroximations      333
Uniqueness theorem for differential equations      315
Uniqueness theorem for orthogonal projections      144
Uniqueness theorem, Haar      340
Unit ball      80
Unit circle      547
Unit sphere      64
Unitary equivalence      207
Unitary matrix      203 368
Unitary operator      201 205 546
Unitary space $\mathbf{C}^{n}$       6 33 52 60 131
Upper bound      210
Vandermonde’s determinant      343
Variation      225
Vector addition      50
Vector space      50
Vector valued function      387
Volterra integral equation      321
Wave equation      583
Wave packets      592
Weak Cauchy sequence      262
Weak completeness      263
Weak convergence      257 266
Weak limit      257
Weak operator convergence      264
Weak operator limit      264
Weak* convergence      266
Wecken’s lemma      549
Weierstrass approximation theorem      280
Weight function      183
Zero operator      84 93 141 197
Zero vector      50 115 223
Zorn’s Lemma      211

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