174 citations · 281 across the 25 of their papers we have counts for
27 papers
Dilations for operator-valued quantum measures
Deguang Han, Qianfeng Hu, David R. Larson +1
This paper concerns the dilations of Banach space operator-valued quantum measures. While the recently developed general dilation theory can lead to a projection (idempotent) value…
Admissible sequences for positive operators
Victor Kaftal, David Larson
A sequence of scalars is said to be admissible for a positive operator A on a Hilbert space if it is the diagonal of VAV* for some partial isometry V having as domain the closure o…
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…
Signal Reconstruction from Frame and Sampling Erasures
David R. Larson, Sam L. Scholze
We give some new methods for perfect reconstruction from frame and sampling erasures in finitely many steps. By bridging an erasure set we mean replacing the erased Fourier coeffic…