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Let be an operator space. We have complete isometries
[ER91, Thm. 4.3 (a)(c)]
[Ble92b, Prop. 2.3 (i)(ii)]:
and
.
Herein,
is the Haagerup tensor product ,
the injective tensor product and
the projective tensor product .
For Hilbert spaces and
, we have complete isometries
[ER91, Cor. 4.4.(a)]
[Ble92b, Prop. 2.3(iv)]
.
Prof. Gerd Wittstock
2001-01-07