Page 531 - Advanced Linear Algebra
P. 531
Index
Abel functional, 477, 489 antisymmetric tensor algebra, 398
Abel operator, 479 antisymmetric tensor space, 395, 400
Abel polynomials, 489 antisymmetry, 10
abelian, 17 Apollonius identity, 223
absolutely convergent, 330 Appell sequence, 481
accumulation point, 306 approximation problem, 331
adjoint, 227, 231 as measured by, 357
affine basis, 435 ascending chain condition, 26, 133
affine closed, 428 associate classes, 27
affine combination, 428 associated sequence, 481
affine geometry, 427 associates, 26
affine group, 436 automorphism, 60
affine hull, 430
affine hyperplane, 416 barycentric coordinates, 435
affine map, 435 base ring, 110
affine span, 430 base, 427
affine subspace, 57 basis, 47, 116
affine transformation, 435 Bernoulli numbers, 477
affine, 424 Bernstein theorem, 13
affinely independent, 433 Bessel's identity, 221
affinity, 435 Bessel's inequality, 220, 337, 338, 345
algebra homomorphism, 455 best approximation, 219, 332
algebra, 31, 451 bijection, 6
algebraic, 100, 458 bijective, 6
algebraic closure, 30 bilinear form, 259, 360
algebraic dual space, 94 bilinear, 206, 360
algebraic multiplicity, 189 binomial identity, 486
algebraic numbers, 460 binomial type, 486
algebraically closed, 30 block diagonal matrix, 3
algebraically reflexive, 101 block matrix, 3
algorithm, 217 blocks, 7
almost upper triangular, 194 bottom, 10
along, 73 bounded, 321, 349
alternate, 260, 262, 391
alternating, 260, 391 canonical form, 8
ancestor, 14 canonical injections, 359
anisotropic, 265 canonical map, 100
annihilator, 102, 115, 459 canonical projection, 89
antisymmetric, 259, 390, 395 Cantor's theorem, 13
