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本刊英文版Vol.29(2013),No.12论文摘要(英文)

On Strong Kadison-Singer Algebras
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摘要 Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO Abstract In this paper,we consider the(L,1)state-dependent reflecting random walk(RW)on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for(positive)recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper Abstract We show that many Kadison-Singer algebras are maximal triangular in all al- gebras containing them although their definition requires the maximality taken in the class of reflexive algebras. Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2014年第1期I0005-I0008,共4页 Acta Mathematica Sinica:Chinese Series
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