Bei Liu

activity

20112015

most citedOperator-Valued Measures, Dilations, and the Theory of Frames

48 citations · 62 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.FA2014★ 1 cited

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…

math.FA2014★ 12 cited

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…

math.FA2012★ 1 cited

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^{p} (R^{d})$

Bei Liu, Rui Liu

In this paper, we prove that if a finite disjoint union of translates $⋃_{k = 1}^{n} {f_{k} (x - γ)}_{γ \in Γ_{k}}$ in $L^{p} (R^{d})$ $(1 < p < \infty)$ is a $p^{'}$ -Bessel sequence for some $1<p'…

Dilations of frames, operator valued measures and bounded linear maps

Dilations for Systems of Imprimitivity acting on Banach Spaces

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in Lp(Rd)

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^{p} (R^{d})$