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| Авторизация |
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| Поиск по указателям |
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| Shilov G.E. — An introduction to the theory of linear spaces |
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| Предметный указатель |
Quadric surfaces, analysis of, from general equation of 236—243
Quadric surfaces, centers of 224 233
Quadric surfaces, central 224—230
Quadric surfaces, central, canonical equation of 222
Quadric surfaces, central, conjugate 233
Quadric surfaces, central, degenerate 228—230
Quadric surfaces, central, nondegenerate 224 229
Quadric surfaces, central, semiaxes of 225
Quadric surfaces, definition of 221
Quadric surfaces, degenerate conical 223 228
Quadric surfaces, degenerate cylindrical 223 233—236
Quadric surfaces, noncentral, canonical equation of 223
Quadric surfaces, noncentral, nondegenerate 230—233
Range of an operator 86
Range of an operator, dimension of 86
Riesz — Fischer theorem 259
Rodrigues' operator 216
Rotations 150—151
Scalar product 135ff.
Scalar product, definition of 136
Scalar quantity 112
Schwarz inequality 139 251
Shenitzer, A. 284
Shostak, R.Y. 132
Slope, negative 5
Slope, positive 5
Small oscillations 218—220
Smirnov, V.I. 303
Source-derivable functions 279
Source-derivable functions, Fourier series expansion of 280
Space  251ff.
Space , completeness of 252
Space  256—260
Space , equivalent functions in 259
Space , scalar product in 258
Space  31
Space , components of elements of 31
Space , operations on elements of 32
Space  31
Space C(a,b) 32
Space C(a,b), norm of elements of 138
Stationary value of a function 199
Steklov's theorem 2R4
Sturm — Liouville differential operators 192—194 268 284—286
Sturm — Liouville differential operators, nonsingular 284
Subspaces, angle between two 162
Subspaces, definition of 40
Subspaces, dimension of 41
| Subspaces, direct sum of 179
Subspaces, intersection of 40
Subspaces, intersection of, dimension of 43
Subspaces, invariant 178—194
Subspaces, orthogonal complement of 141
Subspaces, spread of 163
Subspaces, sum of 163
Summation convention 108
Symmetric operators 154 187—194
Symmetric operators, commuting 192
Symmetric operators, eigenvectors of 187—192
Symmetric operators, maximal vectors of 188—189
Symmetric operators, positive definite 191
Symmetric operators, theorem on 189
System(s) of linear equations 1—2 15—18 50—64
System(s) of linear equations, coefficients of 1
System(s) of linear equations, compatible 2 15
System(s) of linear equations, constant terms of 1
System(s) of linear equations, determinate 2
System(s) of linear equations, homogeneous 27
System(s) of linear equations, homogeneous, nontrivial compatibility of 53
System(s) of linear equations, incompatible 175—177
System(s) of linear equations, inhomogeneous 54
System(s) of linear equations, inhomogeneous, compatibility condition for 54
System(s) of linear equations, solution space of 40
System(s) of linear equations, solution(s) of 1
System(s) of linear equations, solution(s) of, fundamental system of 58
System(s) of linear equations, solution(s) of, fundamental system of, normal 58
System(s) of linear equations, solution(s) of, general 55—57
System(s) of linear equations, solution(s) of, geometric properties of 58—60
System(s) of linear equations, solution(s) of, trivial 27
Tangent plane to a surface 212
Tensors 107—112
Tensors, addition of 111
Tensors, contraction of 111
Tensors, contravariant 110
Tensors, covariant 110
Tensors, invariants of 112
Tensors, mixed 111
Tensors, multiplication of 111
Tensors, order of 110
Tonelli's scheme 257
Triangle inequalities 142
Trigonometric functions 266
Trigonometric functions, completeness of 267
Triply orthogonal system of surfaces 217
Unbounded operators with inverses 283—286
Unbounded operators with inverses, eigenvectors and eigenvalues of 283
Uniform convergence 246
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