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| Kreyszig E. — Introductory functional analysis with applications |
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| 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  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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