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Examples
matrix convexity
- The unit ball of an operator space
, given by the family
for all
,61is absolutely matrix convex and closed.
- The set of matrix states of a unital
-algebra
, given by the family
completely positive and unital
for all
, is matrix convex and weak-
-compact.
- If
is a
-algebra, the positive cones
for all
form a closed matrix cone.
Footnotes
- ...,61
-
Also
.
Prof. Gerd Wittstock
2001-01-07