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Unbounded completely positive linear maps on<i>C</i><sup>โˆ—</sup>-algebras

Unbounded completely positive linear maps on<i>C</i><sup>โˆ—</sup>-algebras

We define unbounded, completely positive, operator valued linear maps on C*-algebras, and investigate their natural order structure.Following F. Combes, J. Math.Pure et Appl., we study the quasi equivalence, equivalence and type of the Stinespring representations associated with unbounded completely positive maps.Following A. van Daele, Pacific J. Math., we study an โ€ฆ