Operator-Valued Measures, Dilations, and the Theory of Frames
  We develop elements of a general dilation theory for operator-valued measures and bounded linear maps between operator algebras that are not necessarily completely-bounded. We prove our main results by extending and generalizing some known results from the theory of frames and framings. 
Deguang Han, David R. Larson, Bei Liu and Rui Liu
math.OA math.FA