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Cigler J., Losert V., Michor P. — Banach Modules and Functors on Categories of Banach Spaces |
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Предметный указатель |
A-completion 123
A-ref lexive module (Banach module) 150
Adjoint functors 161 176
Algebraic tensor product 47
Approximate unit (identity) 75
Approximation property 76
Associate module (Banach module) 148
Banach — Dieudonne, theorem of 29
Banach-Schander, theorem of 5
Basis of a Banach space 95
Bifunctor 175
Bifunctor, symmetric 203
Bimodule 102
Canonical decomposition 3
Coend (of a bimodule) 133
Cohen — Hewitt, theorem of 108
Cokernel 33
Colimit (inductive limit) 18
Complete functor 245
Computable functor 245
Contravariant functor 156
Coproduct 7
Counit (of adjunction) 161
Covariant functor 156
D-reflexive functor 204
Difference cokernel 19
Difference kernel 13
Dixmier, proposition of 43
Double centralizer algebra 132
Dual functor of Mitjagin — Shvarts 218
Duality for covariant functor s 202
Dvoretzky-Rogers, theorem of 69
End (of a bimodule) 133
Epimorphism (epi) 2
Essential functor 164 179
Essential module (Banach module) 111
Essential part of a functor 164 179
Exponential law 49
Extreme epimorphism (epi) 4
Extreme monomorphism 4 34
Forgetful functor 9
Function space 104
functor 156
Functor of type 164 179
| Functor of type (I) 183
Functor of type (II) 183
Functor of type A 212
Hom- functor 1 57
Inductive limit (projective, colimit) 18
Inductive tensor product 62
Integral mapping 226
Isomorphism 3
K-complete functor 244
K-computable functor 244
Kan extension 194
Kernel 33
Limit (projective) 11
Module (Banach module) 75 101
Module (Banach module), homomorphism 113
Monomorphism (mono) 1 33
Natural transformation 158
Nuclear mapping 226
Operator ideal 184
PRODUCT 6
projective A-module tensor product 137
Projective tensor product 51
Pullback 13
Pushout 19
Radon — Nikodym mapping 230
Reasonable tensor norm 61
Sequence space 102
Strict - A(A)-module (Banach module) 142
Strict morphism 4 35
Strict topology 1 25
Strong module (Banach module) 123
Subfunctor of H(., A) 208
Summable map 119
Tensor product of functors 186
Tensor product on Ban 182
Total functor 170 181
Unit (of adjunction) 169
Waelbroeck, theorem of 30
Waelbroeck, theorem of space 25
Waelbroeck, theorem of subspace 32
weak retract 59
weak section 252
weakly compact mapping 227
Yoneda Lemma 152
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