Index
AL-space, 22 5
AM-space, 22 5
a-integral norm , 4 7
a-integral operator , 4 1
a-nuclear operator , 5 4
a-nuclear bilinea r form , 5 4
a-nuclear norm , 5 4
absolutely p-summabl e sequence , 16
absolutely p-summin g operator , 177
absolutely summing , 177
accessible, 177
accessible Banac h space , 3 7
approximation property , 37 , 177
Banach algebra , 168
Banach lattice , 218
Banach-Mazur distance , 181
band, 23 0
basis, 180
bilinear function , 1
Blaschke's selectio n principle , 211
bounded approximatio n property , 177
bounded bilinea r operator , 7
bounded linea r operator , 7
bounded multiplie r test , 180
C-space, 7 6
column Hilber t space , 25 6
completely bounde d linea r operator , 25 5
contains £n' s uniformly , 180
cotype q, 179
cross matri x norm , 25 7
Dedekind complete , 22 9
dual tenso r norm , 2 7
Dvoretzky-Rogers Lemma/Theorem , 5 9
elementary tensor , 2
ellipsoid, 216
equimeasurable set , 7 4
extension property , 177
extremally disconnected , 81, 24 1
factorization theore m o f Pietsch , 177
Preudenthal-Kakutani spectra l theorem ,
234
function o f hermitia n type , 151
function o f hilbertia n type , 149
function o f integra l type , 149
function o f positiv e type , 151
function o f typ e a , 149
Gelfand integral , 2 4
Gleason space , 24 7
Gordon-Lewis inequality , 186
Gordon-Lewis property , 189
Grothendieck's constant , 153
Grothendieck's inequality , 152
Grothendieck's inequalit y fo r Banac h
lattices, 23 6
GT-space, 178
H-integral operator , 116
Haagerup norm , 25 8
Hilbert-Schmidt operator , 143
Hilbertian form , 116
Hilbertian operator , 116
Hilbertian tenso r norm , 116
ideal, 23 0
injective, 8 7
injective Banac h space , 8 1
injective Banac h space , 24 2
injective envelope , 25 2
injective norm , 10
injective tenso r product , 10
integral bilinea r functional , 22 , 4 1
integral linea r operator , 4 1
integral norm , 2 2
isomorphically injective , 25 3
K-convex, 180
Kakutani AL theorem , 23 4
Kakutani AM-theorem , 22 8
L-space, 7 6
£
p
-space, 181
£
P)/
\-space, 181
lattice homomorphism , 22 2
27 7
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