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Hille E., Phillips R.S. — Functional Analysis and Semi-Groups
Hille E., Phillips R.S. — Functional Analysis and Semi-Groups

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Название: Functional Analysis and Semi-Groups

Авторы: Hille E., Phillips R.S.

Язык: en

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1957

Количество страниц: 808

Добавлена в каталог: 09.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel, N.H., A. — Hermite kernel      571
Abel, N.H., average      504
Abel, N.H., ergodic      511
Abel, N.H., limit      504
Abel, N.H., summability      321 543 556 581 607
Abelian, algebra      20
Abelian, group      10
Abelian, semi-group      257
Abelian, theorems      503
Abscissas of convergence, binomial series      232
Abscissas of convergence, Laplace — Stieltjes transform      215
Abstract, Cauchy problem      617
Abstract, Cauchy problem, of order n      623
Abstract, integration      58
Abstract, polynomial      760
Abstract, semigroup      256
Abstract, space      2
Addition theorem for exponential function      122 172 278 282
Addition theorem, in (B)-algebra      277
Additive, group      9
Additive, group, g. space      10
Additive, resultant      262
Additive, set function      75
Additive, spaces      9
Additive, transformation      23
Adjoint, $(\odot)$-a. operator      422 423
Adjoint, $(\odot)$-a. space      422 429
Adjoint, element of an algebra      22
Adjoint, semigroup      426
Adjoint, space      32
Adjoint, theory      421
Adjoint, transformation      42
Adjoint, transformation, second a.t.      43
Alaoglu, L.      37 303 502
Alexandroff, P.      3 740
Alexiewicz, A.      109
Algebra      19
Algebra of endomorphisms      51 702
Algebra of Hausdorff matrices      615
Algebra with unit element      20 117
Algebra without u. e.      680
Algebra, a. associated with semi-group      455
Algebra, Banach      21
Algebra, commutative      20
Algebra, difference (= quotient = residue class)      133 696
Algebra, Markoff      634
Algebra, nilpotent      688
Algebra, primitive      711
Algebra, radical of a.      133 699
Algebra, reducible (irreducible)      175
Algebra, self-adjoint a.      161
Algebra, semi-group a.      715
Algebra, semi-simple      133 699
Algebra, semi-simple, weakly      708
Algebra, simple      714
Algebra, star      22
Algebra, star, (A*)-a.      22
Algebra, star, (B*)-a.      22
Algebra, star, (C*)-a.      161
Algebra, star, (W*)-a.      161 584
Algebra, sub-a.      20
Algebra, sub-a., invariant      175
Algebra, sub-a., least s.-a.      20
Algebra, topological a.      21
Algebra, topological a., normed      22
Algebra, two-sided      704
Algebra, zero a.      694
Algebraic, space      19
Algebraic, system      9
Analytic, continuation      98 113
Analytic, continuation, of semigroups      473 675
Analytic, dependence in the operational calculus      164 168 200 446 690
Analytic, function      98
Analytic, function, Frechet      112 778
Analytic, function, Lorch      115
Analytical, group      278 341
Analytical, semi-group      472
Andersen, A.F.      507
Angular semi-module      252 265
Approximation of the identity      325 555 579 582
Approximation, Bernstein's a. theorem      317 534
Approximation, Kronecker's a. theorem      146
Approximation, Stone — Weierstrass a. theorem      151
Approximation, Weierstrass a. theorem      534
Arens, R.F.      131 140
Arithmetic of distribution functions      657
Arithmetic of moment functions      616
Assumptions, $P_{\nu}$ on topological semi-group      727 728 741 748 749
Assumptions, $T_{\nu}$ on parameter semi-group      741 742
Austin, D.G.      638
Automorphism      9
Axiom of Choice      3
Axiom, countability      4
Axiom, Kantorovich      303
Axiom, Lindenbaum      7
Axiom, Separation      4
Axiom, triangle      7
Baer, R.      699
Baire, R., B. continuity      765
Baire, R., condition of B.      271
Baker, B.B.      618 675
Baker, G.A., Jr.      271
Balakrishnan, A.V.      446 580 674
Banach, S.      17 28 29 32 37 39 40 41 44 46 47 109 180 546
Banach, S., algebra      21
Banach, S., B. — Steinhaus theorem      41
Banach, S., Hahn — B. extension theorem      28
Banach, S., lattice      636
Banach, S., limit functional      39
Banach, S., space      16
Basis, of a linear system      11
Begle, E.G.      14 263
Bergstroem, V.      262
Bernstein, F.      617
Bernstein, S., approximation theorem      317 534
Bernstein, S., B. — Hausdorff — Widder theorem      592 612
Bessel, F.W., function      222
Beurling, A.      141 243 245
Binomial, distribution      316
Binomial, series      231 489 669
Binomial, series, convergence      232
Binomial, series, representation      234
Birkhoff, G.      16 62 303 502 636 727
Birkhoff, G.D.      502
Bochner, S.      62 67 76 129 155 230 570 592 673 674
Bochner, S., integral      78
Bohnenblust, F.      29 30 214 473
Borel, E., property      4
Borel, E., sets      141 158
Borel, E., transform      340
Bound      see "Norm"
Bound, lower      2
Bound, lower, greatest l.      3
Bound, upper      2
Bound, upper, least u.      3
Boundary      4
Boundary value problems, for partial differential equations      617
Boundary value problems, for semi-groups      498
Bounded, homogeneous function      110
Bounded, set      8
Bounded, set, totally b.s.      8
Bounded, transformation      24
Bounded, variation (strong, weak)      59
Boundedness of norm of semi-group      280 304 746
Boundedness of subadditive function      241 253
Boundedness of suboperative function      742
Boundedness, uniform b. principle (theorem)      26
Bourbaki, N.      37
Brunn — Minkowski — Lusternik, inequality      263
Burgess, D.C.J.      71
Butzer, P.L.      326
c-star set      109
Calkin, J.W.      705 706
Cancellation, law of      10 257
Canonical, function      728
Canonical, one-parameter c. semi-group      259
Canonical, one-parameter c. semi-group, sub-s.-g.      728
Canonical, orbit      728 735
Canonical, orbit, hyperbolic case      274
Carleman, T.      502
Carlson, F.      103 212 233 492 496
Cartan, E.      718
Category, first (second)      4
Category, Zorn's c. theorem      271
Caton, W.B.      221
Cauchy, A., abstract C. problem      617
Cauchy, A., abstract C. problem, of order n      623
Cauchy, A., C. — Hadamard theorem      96
Cauchy, A., condition      8
Cauchy, A., estimates      97 111
Cauchy, A., integrals      94 111 166 199 227 441 690
Cauchy, A., problem      617 674
Cauchy, A., sequence      8
Cauchy, A., theorem      95
Cesaro, E., average      504
Cesaro, E., ergodic      511
Cesaro, E., limit      504
Cesaro, E., summability      321 613 616
Chapman — Kolmogoroff, equation      634 648
CHARACTER      716
Character of real line      145
Character of real line, c. group      600
Characteristic, function      653
Characteristic, function, unilateral      660
Characteristic, manifold (value, vector)      54
Circular, set      12
Clarkson, J.A.      19
Classes of semi-groups, $(0, A)^{\odot}$, $(0, C_{1})^{\odot}$      428
Classes of semi-groups, $C_{0}$, $(1, C_{1})$, $(0, C_{1})$, (1, A), (0, A), (A)      320
Classes of semi-groups, $H(\Phi_{1}, \Phi_{2})$      325
Classes of semi-groups, (E)      509
Classes of semi-groups, primed c.      323
Clopen (= closed and open)      4
Closed, boundedly weakly* c.      39
Closed, c. graph theorem      47
Closed, linear operators, class of      55
Closed, linear operators, operational calculus      199
Closed, linear operators, powers      56
Closed, linear operators, resolvent theory      183
Closed, linear operators, spectral theory      203 207 210)
Closed, regularly c.      39
Closed, set      3
Closed, transformation      40
Closed, transformation, class of c. linear t.      45
Closely related, infinitesimal generators      409 446
Closely related, linear transformations      45
Closely related, linear transformations, l. operators      198
Closure      3
Closure, relative      4
Cohen, L.W.      502
Commutant, of a set      21
Commutant, of commutant      453
Commutator      722 758
Compact      5
Compact, Borel property      4
Compact, conditionally c.      5
Compact, linear operator      52
Compact, linear operator, spectral theory      180
Compact, locally c. space      5
Compact, resolvent (spectral theory)      210
Compact, sequentially c.      8
Compact, sequentially c., weakly      35
Compact, transformation (weakly)      8 48
Compact, weakly c.      48
Components, of maximal group      119
Components, of maximal group, number of c.      287
Components, of maximal group, principal c.      119
Components, of resolvent set (principal c.)      124
Components, of reversible group (principal c.)      683
Components, of set      4
Conditions, $(C_{0})$      321
Conditions, $(C_{1})$      322
Conditions, $(C_{1})^{''}$      323
Conditions, $(i)_{0}$, $(i)_{1}$      322
Conditions, (A)''      323
Conditions, (A), (A)'      322
Conditions, (W)      141 435
Cone, in $E_{n}$      252
Cone, in (B)-space      289
Cone, of generators      658
Cone, positive c. of partially ordered linear system      15
Cone, retrograde light c.      675
Conjugate, of derivative      556 579
Conjugate, operator      605
Conjugate, space      32
Connected      4
Continuity, absolute      76
Continuity, in the sense of Baire      765
Continuity, modulus of c. (rectified)      249
Continuity, of additive transformations      23
Continuity, of additive transformations, bounded      24
Continuity, of homogeneous polynomials      764
Continuity, of linear forms      764
Continuity, of subadditive functions      246
Continuity, of subadditive functions, in the mean      249
Continuity, strong      58 59
Continuity, uniform      59
Continuity, upper semi-c.      167
Continuity, weak      58 59
Continuous spectrum      54
Continuous spectrum of semi-group of Riemann — Liouville integrals      668
Continuous spectrum of semi-group of Riemann — Liouville integrals, group extension      665
Continuous spectrum of translation semi-group      532 533
Continuous spectrum, mapping of      204 464 465
Continuous spectrum, property $P_{3}$      54
Continuous spectrum, relation c.s. of semi-group operators and generator      469 471 665
Convergence in measure      72
Convergence in variation      649
Convergence of (F)-power series      775
Convergence of (F)-power series, (G)-p.s.      770
Convergence of binomial series      232
Convergence of directed set      5
Convergence of directed set, weak      35
Convergence of Laplace — Stieltjes transform      213
Convergence, absolute      60
Convergence, almost everywhere      72
Convergence, almost uniformly      71
Convergence, c. preserving transformation      607 609
Convergence, locally uniform      169 200 777
Convergence, strong      60
Convergence, theorem of P. Levy      653
Convergence, unconditional      61
Convergence, uniform      61
Convergence, weak      60
Convex, c-convex      774
Convex, c. extension      12
Convex, c. extension, closed      13
Convex, extreme points of c. set      28
Convex, extreme points of c. set, ordinary, exceptional      483
Convex, function      239
Convex, semi-module      560
Convex, set      11
Convex, set, additive resultant of      263
Convex, set, function of support for      252
Convex, uniformly c.      19
Convolution algebra      141 153 615 649 701
Cooper, J.L.B.      583
Cooper, R.      243
Copson, E.T.      618 675
Courant, R.      48
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