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For the Hilbert space
, we can realize
the
column Hilbert space
as a column, by the embedding
Via this identification,
is the
-dimensional
column space
.
is a homogeneous
hilbertian operator space :
All bounded maps on
are completely bounded with the same norm
on
. Actually we have
completely isometrically
[ER91, Thm. 4.1].
is a
injective operator space (cf. [Rob91]).
Subsections
Prof. Gerd Wittstock
2001-01-07