[光滑反拟对角扩张及代数]林群

【光滑反拟对角扩张及代数】林群.pdf目录 序号 标 页码 提 要 引 *2 预 备知识 光 滑拟对角代数 -—6 光 滑拟对角扩张 6-io 二 些注记 1o -11 参考文献 [2-12 中文摘要 13-14 英文摘要-15 致 谢 16-16schatten ideal,and the finite positive contrations on.By Illl,we shalldenotetheschattennorm.Wesay that a c*-algebraof(e)isalmost smooth diagonalif there exists anincreasing sequence{P.}Cof finite rank orthognalprojections that tends strongly to the identity one and such that limllaP,-Pal,=OfoI[P,p(a)]Il =trace(P,p(a)]*[P,p(a)])(Pp(a*)(1-P)p(a)P P =trace(1-P)p(a)Pp(a)(1-P)/Pe(d[)d(d(d-od(o)d(d= Since tracePp(a*)(1-P)p(a)P -Pp(a)(1-P)p(a)Pll =trace(Pp(a*a)P-Pp(a*)Pp(a)(1-P) =1lp(a*a)-p(a*)p(a)l
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