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Zelazko W. — Banach Algebras
Zelazko W. — Banach Algebras

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Название: Banach Algebras

Автор: Zelazko W.

Аннотация:

Modern Analytic and Computational Methods in Science and Mathematics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1973

Количество страниц: 194

Добавлена в каталог: 27.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Algebra      6
Algebra antisymmetric function      160
Algebra generated by a system K      45
Algebra of quotients      16
Algebra, $B_{0}$-      33
Algebra, *-      113
Algebra, Arens *-      128
Algebra, B*-      115 124
Algebra, Banach (B-)      9
Algebra, C*-      124
Algebra, complex      6
Algebra, concrete function      141
Algebra, Dirichlet      155
Algebra, function      141 165
Algebra, group      14
Algebra, Liouville      166
Algebra, locally bounded (l. b.)      32
Algebra, locally bounded (l. b.), convex (LC-)      32
Algebra, maximum modulus      165
Algebra, Montel      166
Algebra, normed      11
Algebra, primary      108
Algebra, primitive      57
Algebra, Q-      35
Algebra, quotient, of A modulo I      6
Algebra, real      6
Algebra, regular      102
Algebra, self-adjoint      103
Algebra, semi-simple      56
Algebra, symmetric      114
Algebra, topological      8
Algebra, uniform      165
Allan, G.R.      67 74 95 110 111 138
Aoki, T.      167
Arens, R.      15 18 34 65 90 91 110 111 128
Banach, S.      34
Birtel, F.T.      166
Bishop, E.A.      149 150 154 160
Bohnenblust, H.R.      53
Bonnard, M.      111
Boundary, Bishop      149
Boundary, Choquet      152
Boundary, Shilov      61
Brooks, R.M.      66 69 139
Browder, A.      87
Calculus operator      74
Calculus, symbolic      74
Calderon, A.P.      90 91
Cauchy, A.      59 71 72 88
Cech, E.      142
Choquet, G.      152 154
Closure of a subset      3
Cohen, J.P.      23 26
Component principal, of the group      28
Convex hull, closed      8
Convex hull, polynomially, of a set      42 77
Cortex of algebra      64
Cosets modulo I      6
Cousin, J.A.J.      92—94
Craw, I.G.      34 65
Dales, H.G.      110
Decomposition of Banach algebra into a direct sum of ideals      95
Decomposition, Jordan      140
Dirichlet, P, G.L.      154 155 157—160
Divisor, generalized topological, of zero      68
Divisor, topological, of zero (right, left, two-sided)      57
Diximier, J.      138
Dixon, P.G.      65 68 138
Dunford, N.      5 8 167
Edelstein, J.S.      31
Eidelheit, M.      57
Elements, almost nilpotent      68
Elements, generalized nilpotent      54
Elements, Hermitian      113
Elements, k-singular      69
Elements, left-quasi-invertible      27
Elements, left-quasi-regular      27
Elements, maximal      2
Elements, minimal      2
Elements, nilpotent      54
Elements, normal      113
Elements, permanently singular      59
Elements, positive, of A      129
Elements, quasi-invertible      26
Elements, right-quasi-regular      27
Engelking, R.      46
Family, total, of functional      7
Fremlin, D.H.      65
Frobenius, F.G.      18 19 37
Functional, multiplicative linear      25 36
Functional, non-decomposable      135
Functional, positive      120 125 142
Functions, analytic, of one complex variable to act on an element      70
Functions, entire, operates in an algebra      35
Functions, locally belonging to algebra      99
Gelbaum, B.R.      15
Gelfand, I.M.      14 17 18 34 41 43—45 47 51 54 56 66 99 102 105 112 116 117 127—132 137 149 163 165
Gill de Lamadrid, J.      16
Gleason part of algebra      158
Gleason, A.M.      87 155 158—160
Glicksberg, I.      160 164
Gramsch, B.      110
Gunning, R.C.      87 88 91 92
Haar, A.      14 33
Hadamard, J.      82
Hahn, H.      144
Hewitt, E.      23 141
Hirschfeld, R.A.      142
Hoffman, K.      145 165
Homomorphisms, *-      113
Homomorphisms, algebraic      9
Homomorphisms, natural, of A onto A|I      6
Homomorphisms, self-adjoint      113
Homomorphisms, topological      9
Ideals, left      6
Ideals, maximal      6 37
Ideals, modular      28
Ideals, modular, left or right      27
Ideals, primary      108
Ideals, prime      48
Ideals, primitive      55
Ideals, proper      6
Ideals, right      6
Ideals, smallest      100
Ideals, two-sided      6
Identity, approximate      22
Identity, approximate, left and right      22
Interior of a subset      3
Involution      112
Involution, symmetric      114
Isomorphism, algebraic      9
Isomorphism, topological      9
Johnson, B.E.      57
Jordan, C.      140 158
Kahane, J.P.      87 111
Kailin, E.      99
Karlin, S.      53
Kitainik, L.M.      68
Koethe, G.      168
Kolmogoroff, A.N.      168
Krein, M.G.      8 135 143 144 162
Kronecker, L.      1 33 41
Kuratowski, K.      2 3 6 28 61 119 125 150
Lebesgue, H.L.      13 141 157
Lemma, Kuratowski — Zorn      2
Lemma, Urysohn      4
LePage, C.      142
Levy, H.      74
Lindberg, J.A.      166
Liouville, J.      18 166
Logarithm of an element      29
Lorch, E, R.      30 31
Malliavin, P.      107
Mallios, A.      16
Mazur, S.      16—18 34 147 168
McClure, J.P.      110
Measure probability      140
Measure, absolutely [$\mu$-absolutely] continuous      140
Measure, absolutely [$\mu$-absolutely] continuous, singular, with respect to the function algebra      159
Measure, concentrated      139
Measure, Haar      14
Measure, non-negative      139
Measure, regular      140
Measure, singular [$\mu$-singular]      140
Meyers, W.E.      166
Michael, E.      33 34 65 66
Milman, D.P.      8 135 143 144 162
Minkowski, H.      52
Mitiagin, B.S.      35
Montel, P.      166
Multiplication, trivial      10
Murphy, I.S.      121
Nagasawa, M.      146 149
Nagumo      30
Naimark, M.A.      14 109 116 117 128—131 137 138
Neubauer, G.      67
Nikodym, O.      141
Norm, admissible      53
Norm, F-      167
Norm, spectral      51
Norm, submultiplicative      11
Oka, K.      92—94
Operator, positive      129
Orlicz, W.      168
Phelps, R.R.      154
Point peak, of the space [algebra]      150
Point, cluster      3
Point, extremal      8
Polydisc, closed      87
Polydisc, open      87
Pontriagin, L.S.      18
Principle, local maximum modulus      94
Principle, transfinite induction      2
Product of cosets      6
Product, Arens      15
Product, topology      4
Projection      113
Przeworska-Rolewicz, D.      110
Pseudonorm, p-homogeneous      167
Quasi-inverse of element      27
Radical of algebra      54
Radius, spectral      53
Radon, J.      83 141
Raikov, I.M.      14
Representation of the algebra A      55 118
Representation, cyclic      118
Representation, equivalent      118
Representation, Gelfand      38
Representation, irreducible      55 118
Rickart, C.E.      48 55 57 69 80 110
Riemann, B.      67 110 168
Riesz, F.      138 139 141
Rings, normed      9
Rolewicz, S.      35 68 110 167
Rossi, H.      87 88 91 92
Rouche, E.      63
Sakai, S.      138
Schaefer, H.      167 168
Schwartz, J.      5 8 129 138 167
Schwarz, H.A.      120 129
Set of antisymmetry for A      161
Set of antisymmetry for A, maximal ideals      37
Set of antisymmetry for A, states of the algebra [space]      193
Set peak (local)      92
Set peak (local) of the algebra      162
Set, linearly ordered      2
Set, maximizing      61
Set, ordered      2
Set, well ordered      2
Shilov, G.E.      14 47 61—64 91 92 104 141 145 146 149 150 152 166
Singer, J.M.      164 165
Solution of the additive Cousin problem      92
Space of type $B_{0}$      168
Space structure      49
Space, $B_{0}$-      168
Space, bounded      167
Space, compact      4
Space, compactified, by the point at infinity      5
Space, F-      167
Space, Hausdorff      3
Space, locally bounded (l.b.)      167
Space, locally compact topological      4
Space, normal      4
Space, regular      11
Space, topological      3
Spectrum of an element      47
Spectrum, extended, of an element      67
Spectrum, joint      47 81
Stone, M.H.      5 116 117 142 147 149 162 165
Stromberg, K.      23 141
Subalgebra, self-adjoint      113
Subspace invariant, of the representation      55 118
Suciu, I.      16
Sum, direct      15 57
Sum, direct, of the family of representation      123
Sum, subdirect      57
Symbol, Kronecker      1—2
Tao-Hsing, Hsia      138
Theorem on the partition of unity      104
Theorem, Aoki — Rolewicz      167
Theorem, Bohnenblust and Karlin      53
Theorem, Cohen factorization      23
Theorem, Frobenius      18
Theorem, Gelfand — Naimark      116
Theorem, Gelfand — Naimark Representation      128
Theorem, Krein — Milman      8
Theorem, Levy      74
Theorem, Lorch      30
Theorem, Malliavin      107
Theorem, Mazur — Gelfand      17
Theorem, Nagasawa      149
Theorem, Nagumo      30
Theorem, Rossi, on local peak set      92
Theorem, Shilov — Bishop      161
Theorem, Tikhonov      4
Theorem, Weierstrass — Stone      5
Theorem, Wiener      42
Theorem, Wiener Tauberian      108
Tikhonov, A.N.      4
Titchmarsh, A.N.      82
Topology hull-kernel      49
Topology structure      49
Topology, Gelfand      43
Topology, Tikhonov      4
Transform, Gelfand      38
Transformation, Gelfand      38
Ulam, S.      149
Urysohn, P.S.      4 156
Variation, total, of a measure      139
Vector, cyclic, of representation      118
von Neumann, C.G.      130
Vood, B.      118 128 138
Waelbroeck, L.      34 67 111
Weierstrass, K.      5 116 117 147 149 162 165
Wermer, J.      160
Wiener, N.      41 65 100 108 110
Williamson, J.H.      34
Zelazko, W.      18 32—35 58 65—69 87 110 111 142
Zermelo, E.      2
Zorn, M.      2 3 6 28 61 119 125 150
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