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  Volume 4, Issue 1, Article 24
 
Some Variants of Anderson's Inequality in $C_1$-Classes

    Authors: Mecheri Salah, Messaoud Bounkhel,  
    Keywords: Elementary operators, Schatten $p$-classes, Orthogonality.  
    Date Received: 15/10/02  
    Date Accepted: 19/02/03  
    Subject Codes:

47B47,47A30,47B20,47B10

 
    Editors: Alexander G. Babenko,  
 
    Abstract:

The main purpose of this note is to characterize the operators $Sin ker Delta _{A,B}cap C_{1}$ which are orthogonal to the range of elementary operators, where $S$ is not a smooth point in $C_{1}$ by using the $varphi - $directional derivative.

         
       
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