activity
20132021
most citedVon Neumann entropy and majorization

33 citations · 39 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2021

Extremal solution and Liouville theorem for anisotropic elliptic equations

Yuan Li

We study the quasilinear Dirichlet boundary problem \begin{equation}\nonumber \left\{ \begin{aligned} -Qu&=λe^{u} \quad \mbox{in}\quadΩ\\ u&=0 \quad \mbox{on}\quad\partialΩ,\\ \end…

math.FA2019

The minus order for idempotents

Yuan Li, Jiajia Niu, Xiaoming Xu

Let and be idempotents on a Hilbert space The minus order is defined by the equation In this note, we first present some necessary an…

math.FA2019★ 1 cited

The structures and decompositions of symmetries involving idempotents

Yuan Li, Jiaxin Zhang, Nana Wei

Let be a separable Hilbert space and be an idempotent on We denote by and $…

math.FA2018

The minimal and maximal symmetries for -contractive projections

Yuan Li, Xiaomei Cai, Jiajia Niu +1

In this paper, we firstly character the structures of symmetries such that a projection is -contractive. Then the minimal and maximal elements of the symmetries with…

math.FA2018★ 2 cited

The absolute values and support projections for a class of operator matrices involving idempotents

Yuan Li, Xiaomei Cai, Shuaijie Wang

Let and be a linear bounded operator from a Hilbert space into another Hilbert space In this paper, we conside…

cs.CC2013★ 3 cited

Represent MOD function by low degree polynomial with unbounded one-sided error

Chris Beck, Yuan Li

In this paper, we prove tight lower bounds on the smallest degree of a nonzero polynomial in the ideal generated by or in the polynomial ring $F_p[x_1, \ldots,…

math-ph2013★ 33 cited

Von Neumann entropy and majorization

Yuan Li, Paul Busch

We consider the properties of the Shannon entropy for two probability distributions which stand in the relationship of majorization. Then we give a generalization of a theorem due…