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Dunford N., Schwartz J., Bade W.G. — Linear operators. Part 2
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Название: Linear operators. Part 2Авторы: Dunford N., Schwartz J., Bade W.G.Аннотация: In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V ↦ W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication. An important special case is when V = W, in which case the map is called a linear operator, or an endomorphism of V. Sometimes the definition of a linear function coincides with that of a linear map, while in analytic geometry it does not.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1963Количество страниц: 986Добавлена в каталог: 18.02.2014Операции: Положить на полку |
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Variation, of a set function III.1.4—7 (97—98) Variation, semi-variation of a vector-valued measure IV.10.3 (320) Vaught, R.L. 384 Vector space, definition (36) Vector space, dimension of (36) Vector space, elementary properties I.11 Vector space, real or complex (49) Veress, P. 378 383 392 Vidav, I. 935 Vinkurov, V.G. 94 Vinogradov, A.A. 473 Visser, C. 610 728 983 Vitali theorems, covering theorem III.12.2 (212) Vitali theorems, on convergence of integrals III.3.6 (122) III.6.15 III.9.45 IV.10.9 Vitali — Hahn — Saks Theorem III.7.2—4 (158—160) IV.10.6 Vitali, G. 122 150 158 212 283—234 392 Volterra, V. 79 80 399 von Neumann, J. 80 85 88 235 372 380 386 389 393—394 438 461 538 611 612 659 727 728 884 886 926 927 928 933 934 1145 1152 1163 1240 1257 1263 1268 1269 1270 1272 1273 1274 1585 1588 1591 von Sz.-Nagy, B. 80 373 395 606 608 609 611 612 729 926 927 928 929 931 932 933 935 1259 1262 1263 1265 1270 1272 1273 1274 Vulich, B.Z. 93 396 540 543 Wallach, S. 1587 1592 Wallman, H. 467 Walsh, J.L. 1266 1616 1617 Walters, S.S. 399 Wassilkoff, D. 396 Watson, G.N. 1592 Weak Cauchy sequence, criteria for in special spaces IV.15 Weak Cauchy sequence, definition II.3.25 (67) Weak completeness, definition II.3.25 (67) Weak completeness, equivalence of weak and strong convergence in IV.8.13—14 (295—296) Weak completeness, of reflexive spaces II.3.28 (69) Weak completeness, of special spaces IV.15 Weak convergence, definition II.3.25 (67) Weak convergence, in special spaces IV.15 Weak convergence, properties II.3.26—27 (68) Weak countable additivity, and strong IV.10.1 (313) Weak countable additivity, definition (318) Weak limit, definition II.3.25 (67) Weak sequential compactness, definition II.3.25 (67) Weak sequential compactness, in reflexive spaces II.3.28 (68) Weak sequential compactness, in special spaces IV.15 Weak topology in a B-space (419) Weak topology in a B-space, bounded V.5.3 (427) Weak topology in a B-space, relations with reflexivity V.4 Weak topology in a B-space, relations with separability and metrizability V.5 Weak topology in a B-space, study of fundamental properties V.3 Weak topology in a B-space, weak compactness V.6 Weak topology in a B-space, weak operator topology, definition VI.1.3 (476) Weak topology in a B-space, weak operator topology, properties VI.9.1—12 (511—513) Weak topology in a B-space, weak* topology (462) Weakly compact operator, definition VI.4.1 (482) Weakly compact operator, in VI.8.1 (498) VI.8.10—14 Weakly compact operator, in VI.9.57 (519) Weakly compact operator, in C VI.7.1 (490) VI.7.3—6 Weakly compact operator, remarks on (539) (541) Weakly compact operator, representation of (549) Weakly compact operator, spectral theory of, in certain spaces VII.4.6 (580) Weakly compact operator, study of VI.4 Wecken, F.J. 927 928 929 933 1269 Wedderburn, J.H.M. 606 Wehausen, J.V. 83 91 381 462 471 Weierstrass, Approximation Theorem IV.6.16 (272) Weierstrass, convergence theorem for analytic functions (228) Weierstrass, K. 228 232 272—273 383—384 Weierstrass, preparation theorem (232) Weil, A. 79 386 1145 1149 1152 1180 1274 Weinberger, H.F. 610 Weinstein, A. 928 Well-ordered set, definition I.2.8 (7) Well-ordered set, well-ordering theorem I.2.9 (7) Wentzel, G. 1614 Wermer, J. 385 930 931 935 1162 Westfall, J. 1583 Weyl — Kodaira theorems XIII.2.24 (1801) XIII.5.13 XIII.5.14 Weyl, H. 372 610 612 725 940 1079 1145 1148 1149 1273 1301 1306 1351 1355 1584 1585 1586 1587 1588 1589 1590 1591 Weyr, E. 607 Whitney, H. 1162 Whittaker, E.T. 1592 Whyburn, G.T. 84 Whyburn, W.M. 1589 Widder, D.V. 383 728 1274 Wiegmann, N.A. 934 Wielandt, H. 934 Wiener closure theorem see "Closure theorem" Wiener measure space (405) Wiener theorem on reciprocal of trigonometric series IX.4.10 (881) Wiener — Levy theorem on analytic functions of trigonometric series IX.4.11 (881) Wiener, N. 85 402 405 406 603 728—729 881 973 986 1003 1160 1264 Wilansky, A. 94 Wilder, R.L. 47 Wilkins, J.E., Jr. 986 Williamson, J.H. 609 Windau, W. 1585 1588 Wintner, A. 399 729 926 927 934 1552 1553 1555 1556 1557 1560 1585 1587 1590 1591 1597 1601 1602 1603 1605 1606 1607 1614 1616 Wolf, F. 612 Wolfson, K. 1587 Wright, F.B. 284 Yaglom, A.M. 407 Yamabe, H. 87 Yood, B. 474 610 Yosida see "Hille — Phillips — Yosida theorem" Yosida, K. 233 234 373 396 466 532 541 624 715 726 727 728—730 927 929 1587 1628 Young, L.C. 542 Young, W.H. 529 Zaanen, A.C. 80 387 400 609 610 611 936 1277 Zalcwasser, Z. 462 Zermelo theorem, on well-ordering I.2.9 (7) Zermelo, E. 7 48 Zero operator (37) Zero, of a group (34) Zero, of an analytic function (230) Zimmerberg, H.J. 936 Zorn, M. 6 48 Zygmund, A. 400 405 541 720 730 1063 1072 1077 1160 1164 1165 1184
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