On Finite Rank Operators in CSL Algebras Ⅱ

被引：0

作者：

Lu Shijie (Department of Mathematics

机构：

来源：

Acta Mathematica Sinica,English Series | 1997年 / 03期

关键词：

CSL algebras; Finite rank operators; Correlation matrices;

D O I：

暂无

中图分类号：

O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];

学科分类号：

070104 ;

摘要：

For finite rank operators in a commutative subspace lattice algebra alg(?)we introduce theconcept of correlation matrices,basing on which we prove that a finite rank operator in alg(?)can bewritten as a finite sum of rank-one operators in alg(?),if it has only finitely many different correlationmatrices.Thus we can recapture the results of J.R.Ringrose,A.Hopenwasser and R.Moore ascorollaries of our theorems.

引用

页码：321 / 326

页数：6

共 14 条

[1]

Bernardin D,Sero-Guillaume OE,Sun CH.Multispecies 2D lattice gas with energy levels:Diffusive properties. Physica . 1991

[2]

Erdos J. A.Operators of finite rank in nest algebras. Journal of the London Mathematical Society . 1968

[3]

Sod GA.A survey of several finite difference methods for systems of non linear hyperbolic conservation laws. Journal of Computational Physics . 1978

[4]

Qian YH and Orszag SA.Lattice BGK model for the Navier-Stokes equation:Nonlinear deviation in compressible regimes. Europhysics Letters . 1993

[5]

Yan Guangwu.Lattice Boltzmann equation for fluid dynamics. . 1994

[6]

Alexander FJ,Chen HD,Chen SY et al.Lattice Boltzmann model for compressible fluids. Physical Review A Atomic Molecular and Optical Physics . 1992

[7]

Frisch U,Hasslacher B,Pomeau Y.Lattice-gas automata for the Navier-Stokes equation. Physical Review Letters . 1986

[8]

Longstaff W.Operators of rank-one in reflexive algebras. Canadian Journal of Mathematics . 1976

[9]

Hopenwasser A,Moore R.Finite-rank operators in reflexive operator algebras. Journal of the London Mathematical Society . 1983

[10]

Benzi R,Succi S and Vergassola M.The lattice Boltzmann equation:theory and applications. Physics Reports . 1992

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