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  Volume 8, Issue 3, Article 66
 
Lower Bounds for Eigenvalues of Schatten-Von Neumann Operators
    Authors: M. I. Gil,  
    Keywords: Schatten-von Neumann ideals, Inequalities for eigenvalues.  
    Date Received: 07/05/07  
    Date Accepted: 22/08/07  
    Subject Codes:

47A10, 47B10, 47B06.

  
    Editors: Fuzhen Zhang,  
 
    Abstract:

Let $ S_{p}$ be the Schatten-von Neumann ideal of compact operators equipped with the norm $ N_{p}(cdot )$. For an $ lambda _{j}(A);(j=1,2,dots)$ are the eigenvalues of $ A$, $ A_{I}=(A-A^{ast })/2i$ and $ A_{R}=(A+A^{ast })/2$. The suggested approach is based on some relations between the real and imaginary Hermitian components of quasinilpotent operators.

         
       
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