J. Korean Math. Soc. 1998; 35(1): 237-257
Printed March 1, 1998
Copyright © The Korean Mathematical Society.
Sa Ge Lee
Seoul National University
By introducing the notion of {\it a generalized normal state space}, we give a necessary and sufficient condition for that there exists a unital normal completely positive map from a von Neumann algebra into another, in terms of their generalized normal state spaces.
Keywords: unital normal completely positive map, generalized normal state space, von Neumann algebra, normal $n$-positive linear functional, normal $n$-state, operator affine, hereditary
MSC numbers: 46.L.10
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