τ-可测正算子迹函数的联合凹凸性(英文)

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- τ-可测正算子迹函数的联合凹凸性(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 28, Issue 4, Pages: 421-425(2011)
- 作者机构：
  
  1. 新疆大学数学与系统科学学院
  2. 哈萨克斯坦法拉比民族大学
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2011
- 稿件说明：
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[1]买合木提·买买提,Aigerim Tleulessova.τ-可测正算子迹函数的联合凹凸性(英文)[J].新疆大学学报(自然科学版),2011,28(04):421-425.

买合木提·买买提, Aigerim Tleulessova. τ-可测正算子迹函数的联合凹凸性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(4): 421-425.
[1]买合木提·买买提,Aigerim Tleulessova.τ-可测正算子迹函数的联合凹凸性(英文)[J].新疆大学学报(自然科学版),2011,28(04):421-425. DOI：

买合木提·买买提, Aigerim Tleulessova. τ-可测正算子迹函数的联合凹凸性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(4): 421-425. DOI：

给出了迹函数f(A

B)=τ(Ap+Bp)1/p是(A

B)的联合凹函数与联合凸函数的充要条件.

We give the necessary and sufficient condition for the trace function f(A

B) = τ(Ap + Bp)1/p to be jointly convex and jointly concave in(A

B).

Epstein H.On a concavity theorem of Lieb[J].Commun Math Phys,1973,31:317-327.

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Carlen E A,Lieb E H.A Minkowisky Type Trace Inquality And Strong Subaddivity of Quantum Entropy II[J].Amer Math Soc,Provi-dence,RI,2007.

Bhatia R.Matrix Analysis[J].Grad Text in Math,Springer,Berlin,1997,169.

Lieb E H.Convex trace functions and the Wigner-Yanase-Dyson Conjecture[J].2009,11:123-133.

Hiai F.Concavity of matrix trace function[J].Taiwanese Journal of Math,2001,5:535-534.

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