278 INDEX left injective , 8 7 left injectiv e hull , 9 0 left projective , 8 7 left projectiv e hull , 9 0 little Grothendiec k inequality , 14 2 Littlewood's theorem , 16 1 local unconditiona l structure , 18 1 LUST, 18 1 metric approximatio n property , 33 , 17 7 metrically accessible , 17 7 metrically accessibl e Banac h space , 3 3 metrically accessibl e tenso r norm , 3 3 monotone basis , 18 0 Nakano-Stone theorem , 24 1 natural tenso r norm , 10 6 non-trivial cotype , 17 9 non-trivial type , 18 0 nuclear operator , 6 9 operator space , 25 5 operator spac e injectiv e tenso r norm , 25 8 operator spac e injectiv e tenso r product , 25 8 operator spac e projectiv e tenso r norm , 25 7 operator spac e projectiv e tenso r product , 258 order bounde d linea r functional , 21 9 order bounde d set , 21 9 order continuou s norm , 22 9 ordered linea r space , 21 7 p-summing norm , 17 7 PA-space, 25 3 Pietsch's Dominatio n Theorem , 17 7 Pisier space , 18 5 positive linea r mapping , 21 8 projective, 8 7 projective compac t Hausdorf f space , 24 5 projective norm , 1 0 projective tenso r product , 1 0 Radon-Nikodym property , 7 1 reasonable crossnorm , 5 representable operator , 7 3 Riesz decompositio n property , 21 7 right injective , 8 7 right injectiv e hull , 9 0 right projective , 8 7 right projectiv e hull , 9 0 row Hilber t space , 25 6 Schauder basis , 18 0 semi-inner product , 11 1 sesquilinear functional , 11 9 Stonean space , 24 1 Stonean spaces , 8 1 subcross matri x norm , 25 7 tensor product , 2 type a bilinea r functional , 3 2 type a bilinea r form , 4 1 type a linea r operator , 4 1 typep , 17 9 type C- space, 7 6 type L-space , 7 6 unconditional basis , 18 0 unconditional basi s constant , 18 1 unconditionally summabl e sequence , 1 8 universal mappin g property , 4 A universal mappin g propert y o f (8) , 1 3 vector lattice , 21 7 weak orde r unit , 23 0 weakly p-summabl e sequences , 1 6 tensor norm , 2 5
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