Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (2): 222-226.

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EXTREME POINTS IN DIAGONAL-DISJOINT IDEALS OF NEST ALGEBRAS

 DONG Zhe, LU Shi-Jie   

  1. Institute of Mathematics, Fudan University, Shanghai 200433, China Department of Mathematics, Zhejiang University, Hangzhou 310027, China
  • Online:2002-04-15 Published:2002-04-15
  • Supported by:

    This work was supported by the National Natural Science Foundation of China.

Abstract:

In this paper, the extreme points of the unit ball of diagonal-disjoint ideals I in nest algebras are characterized completely; Furthermore, it is shown that every extreme point of the unit ball of I has essential-norm one.

Key words: Diagonal-disjoint ideals, extreme points, contractive perturbation

CLC Number: 

  • 47L75
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