JIPAM

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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