| EXTREME POINTS IN DIAGONAL-DISJOINT IDEALS OF NEST ALGEBRAS |
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| 作者姓名： | 董浙 鲁世杰 |
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| 作者单位： | Dong Zhe Institute of Mathematics，Fudan University，Shanghai 200433，ChinaLu Shijie Department of Mathematics，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China. |
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| 摘 要： | IIntroduction andPreliminariesLet H be a complex separable infinit。dimensional Hilbert sp。e,B(H)the set of llbounded operators on R and K(H the ideal of all comp。t operators on fi。A nest NN isa oh。n ofclosed subsPaces ofHllbert sPaceH cont。lug{0}。dX wb止b沾 closed underIntersection and closed span．FOr N E N,defineN＝川NE/:N＞*N＝叫N〔厂:N＜州If N /N,the subsp。e N e N－is called an atom of/．If dimN e N－＜lfor any N e/;厂 is called a maximal nest;and If N＝N－fo…
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| 收稿时间： | 22 December 1999 |
EXTREME POINTS IN DIAGONAL-DISJOINT IDEALS OF NEST ALGEBRAS |
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| Dong Zhe Institute of Mathematics,Fudan University,Shanghai ,ChinaLu Shijie.EXTREME POINTS IN DIAGONAL-DISJOINT IDEALS OF NEST ALGEBRAS[J].Acta Mathematica Scientia,2002,22(2):222-226. |
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| Authors: | Dong Zhe Institute of Mathematics Fudan University Shanghai ChinaLu Shijie |
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| Institution: | Dong Zhe Institute of Mathematics,Fudan University,Shanghai 200433,ChinaLu Shijie Department of Mathematics,Zhejiang University,Hangzhou 310027,China |
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| Abstract: | In this paper, the extreme points of the unit ball of diagonal-disjoint ideals L in nest algebras are characterized completely; Furthermore, it is shown that every extreme point of the unit ball of L has essential-norm one. |
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| Keywords: | Diagonal-disjoint ideals extreme points contractive perturbation |
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