48 citations · 62 across the 5 of their papers we have counts for
5 papers
Some Structural Properties of Homomorphism Dilation Systems for Linear Maps
Deguang Han, David R. Larson, Bei Liu +1
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear…
Dilations of frames, operator valued measures and bounded linear maps
Deguang Han, David R. Larson, Bei Liu +1
We will give an outline of the main results in our recent AMS Memoir, and include some new results, exposition and open problems. In that memoir we developed a general dilation the…
Dilations for Systems of Imprimitivity acting on Banach Spaces
Deguang Han, David R. Larson, Bei Liu +1
Motivated by a general dilation theory for operator-valued measures, framings and bounded linear maps on operator algebras, we consider the dilation theory of the above objects wit…
Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in
Bei Liu, Rui Liu
In this paper, we prove that if a finite disjoint union of translates in is a -Bessel sequence for some $1<p'…
Operator-Valued Measures, Dilations, and the Theory of Frames
Deguang Han, David R. Larson, Bei Liu +1
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 prov…