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 , 1 6 absolutely p-summin g operator , 17 7 absolutely summing , 17 7 accessible, 17 7 accessible Banac h space , 3 7 approximation property , 37 , 17 7 Banach algebra , 16 8 Banach lattice , 21 8 Banach-Mazur distance , 18 1 band, 23 0 basis, 18 0 bilinear function , 1 Blaschke's selectio n principle , 21 1 bounded approximatio n property , 17 7 bounded bilinea r operator , 7 bounded linea r operator , 7 bounded multiplie r test , 18 0 C-space, 7 6 column Hilber t space , 25 6 completely bounde d linea r operator , 25 5 contains £n' s uniformly , 18 0 cotype q, 17 9 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, 21 6 equimeasurable set , 7 4 extension property , 17 7 extremally disconnected , 81 , 241 factorization theore m o f Pietsch , 17 7 Preudenthal-Kakutani spectra l theorem , 234 function o f hermitia n type , 15 1 function o f hilbertia n type , 14 9 function o f integra l type , 14 9 function o f positiv e type , 15 1 function o f typ e a , 14 9 Gelfand integral , 2 4 Gleason space , 24 7 Gordon-Lewis inequality , 18 6 Gordon-Lewis property , 18 9 Grothendieck's constant , 15 3 Grothendieck's inequality , 15 2 Grothendieck's inequalit y fo r Banac h lattices, 23 6 GT-space, 17 8 H-integral operator , 11 6 Haagerup norm , 25 8 Hilbert-Schmidt operator , 14 3 Hilbertian form , 11 6 Hilbertian operator , 11 6 Hilbertian tenso r norm , 11 6 ideal, 23 0 injective, 8 7 injective Banac h space , 8 1 injective Banac h space , 24 2 injective envelope , 25 2 injective norm , 1 0 injective tenso r product , 1 0 integral bilinea r functional , 22 , 4 1 integral linea r operator , 4 1 integral norm , 2 2 isomorphically injective , 25 3 K-convex, 18 0 Kakutani AL theorem , 23 4 Kakutani AM-theorem , 22 8 L-space, 7 6 £ p -space, 18 1 £P)/\-space, 18 1 lattice homomorphism , 22 2 27 7
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