Page 538 - Advanced Linear Algebra

522 Index

top, 10 universal for multilinearity, 382
topological space, 305 universal pair, 357
topological vector space, 79 universal property, 357
topology, 305 upper bound, 11
torsion element, 115 upper triangular, 4
torsion module, 115 upper triangularizable, 192
torsion-free, 115
total subset, 336 Vandermonde convolution formula, 489
totally degenerate, 266 Vector Space, 167
totally isotropic, 265 vector space, 35
totally ordered set, 11 vectors, 35
totally singular, 266
trace, 188 Wedderburn's Theorem, 465, 466
transfer formulas, 504 wedge product, 393
transitivity, 7, 10 weight, 38
translate, 427 well ordering, 12
translation operator, 479 Well-ordering principle, 12
translation, 436 with respect to the bases, 66
transpose, 2 Witt index, 296
transposition, 391 Witt's cancellation theorem, 279, 294
triangle inequality, 208, 210, 301, 325 Witt's extension theorem, 279, 295
trivial, 36
two-affine closed, 428 zero divisor, 23
two-sided inverse, 122, 470 zero element, 17
zero subspace, 37
umbral algebra, 474 Zorn's lemma, 12
umbral composition, 497
umbral operator, 491
umbral shift, 491
uncountable, 13
underlying set, 1
unipotent, 300
unique factorization domain, 28
unit vector, 208
unit, 26
unital algebras, 451
unitarily diagonalizable, 233
unitarily equivalent, 242
unitarily similar, 242
unitarily upper triangularizable, 196
unitary, 238
unitary metric, 302
unitary similarity classes, 242
unitary space, 206
universal, 289
universal for bilinearity, 362