48 citations · 88 across the 14 of their papers we have counts for
14 papers
The Time-Frequency Covariance Principle on Unimodular Kac Algebras
Xiao Chen, Rui Liu, Yuxuan Zheng
This paper extends the short-time Fourier transform (STFT), a fundamental tool in time-frequency analysis, to the quantum group setting of unimodular Kac algebras. For a unimodular…
Ball covering property from commutative function spaces to non-commutative spaces of operators
Minzeng Liu, Rui Liu, Jimeng Lu +1
A Banach space is said to have the ball-covering property (abbreviated BCP) if its unit sphere can be covered by countably many closed, or equivalently, open balls off the origin.…
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…
Cb-frames for operator spaces
Rui Liu, Zhong-Jin Ruan
In this paper, we introduce the concept of cb-frames for operator spaces. We show that there is a concrete cb-frame for the reduced free group C*-algebra , which is der…
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…