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Joint amplification of a duality
The
matrix dualitywhich is fundamental in the duality theory of operator spaces,
is a special case of the
joint amplification
of a bilinear mapping.
The joint amplification of a duality
of vector spaces is defined by
for
,
.
Interpreting
as a mapping
we have
Associated to the
duality
of tensor products74
is the joint amplification
Especially, the equation
obtains, where
,
,
,
.
Footnotes
- ... products74
- The duality
is defined by
for
,
,
,
.
Prof. Gerd Wittstock
2001-01-07