Kaijser S., Pelletier J.W. — Interpolation Functors and Duality :: Электронная библиотека попечительского совета мехмата МГУ

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Kaijser S., Pelletier J.W. — Interpolation Functors and Duality

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Название: Interpolation Functors and Duality

Авторы: Kaijser S., Pelletier J.W.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 186

Добавлена в каталог: 17.08.2008

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Предметный указатель

$C^{\Theta}$ -method of interpolation      39 150
$C^{\Theta}$ -method of interpolation as a Kan extension      150
$C_{\Theta}$ -method of interpolation      38 150
$C_{\Theta}$ -method of interpolation as a Kan extension      150
$Lan_{A}$       95 101
$Ran_{A}$       95
$\bar{\mathcal{E}}$ computable functors      89—90
$\bar{\mathfrak{F}}$ computable functors      89—90
$\Delta$ functor      61
$\Delta$ interpolation space      16 64
$\Delta$ -interpolation functor      66
$\Sigma$ functor      61
$\Sigma$ interpolation space      16 64
$\Sigma$ -interpolation functor      66
$\varphi$ category      47
$\varphi$ functor      59
Adjoint functors      47 50 59
Approximately reflexive      115
Approximating unit of a doolittle diagram      54
Aronszajn — Gagliardo functors      101—103 133 141
Banach couples      10
Banach couples, category of      10
Banach couples, regular      14—15
Basis      79—80
Basis for finite dimensional doolittle diagrams      82
Basis, normal      80
Category      44
Characterization of doolittle diagrams      8
Closed category      46—47
Coevaluation map      60—61
Cokernel      55
Colimit      54—55
Compact operators      126—127
Compactly quasi-injective      126
Compactly quasi-projective      126—127
Complex interpolation method      18 33
Computability of $Lan_{A}$       104—105
Computable functors      89
Coproduct      8 55
Counit map      59
Discrete J-method of interpolation      21 137 139—140
Discrete K-method of interpolation      22 141
Doolittle diagrams      7 44
Doolittle diagrams, category of      11 45
Doolittle diagrams, finite dimensional      80
Dual doolittle diagrams      11—12
Dual functor      106—107
Dual functor of $\Delta$ -interpolation functor      118
Dual functor of quasi-interpolation functor      117
Dual of $C_{\Theta}$ -method of interpolation      154—159
Dual of $Lan_{A}$       111 114 120
Dual unit of a doolittle diagram      54
Duality Theorem for $Lan_{A}$       114
Duality Theorem for computable functors      112
Duality theorem for the complex method      40 114 156

Duality theorem for the real method      22 114 141
Epimorphisms      56—57
Equivalence theorem for the real method      31
Evaluation map      60—61
Exact sequence      14
Extremal epimorphisms      56—57
Extremal monomorphisms      56—57
functor      44 58—59
General Duality Theorem      36 123
Inductive limit      86
Interpolation dual      68
Interpolation dual, characterization of      70
Interpolation space      16
Interpolation space, exact of exponent $\Theta$       22
Isomorphism in $\mathfrak{B}$       38 53
Isomorphism in $\mathfrak{B}_{\infty}$       53
J-functional      18
J-method of interpolation      21
K-functional      19
K-method of interpolation      21—22
Kan extension      60 93
Kernel      55
Left Kan extension      93—94
LIMIT      56
Metric approximation property      104
Monomorphisms      56—57
Morphisms      10 45
Natural transformations      44 61—62
Natural transformations, space of      61—62
Non-trivial doolittle diagrams      10
Operators      10 45
Operators of finite rank      84—85
Operators of rank 1      84
Operators, space of      11 47
Opposite category      47
PRODUCT      8 55
Pullback      8 44
Pushout      8 44
Quasi interpolation space      16 64
Quasi-injective      126
Quasi-interpolation functor      66
Quasi-projective      126—127
Quotient doolittle diagrams      58
Real interpolation method      18
Reiteration theorem for the real method      32
Right Kan extension      93—94
Strong adjoint functors      59
Strong functor      59
Structure Theorem for finite dimensional doolittle diagrams      83
Subdoolittle diagrams      58
Trace map      53
Transposed doolittle diagrams      46
Unit map      59
Unit of a doolittle diagram      54
Unital doolittle diagrams      54
Yoneda Lemma      63

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