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Original Articles

Characterization of the class of unitary operators by operator inequalities

Pages 1069-1074 | Received 25 Sep 2010, Accepted 22 Jan 2011, Published online: 20 Apr 2011

References

  • Corach , G , Porta , H and Recht , L . 1990 . An operator inequality . Linear Algebra Appl. , 142 : 153 – 158 .
  • Seddik , A . 2001 . Some results related to Corach–Porta–Recht inequality . Proc. Am. Math. Soc. , 129 : 3009 – 3015 .
  • Seddik , A . 2004 . On the numerical range and norm of elementary operators . Linear Multilinear Algebra , 52 : 293 – 302 .
  • Seddik , A . 2009 . On the injective norm and characterization of some subclasses of normal operators by inequalities or equalities . J. Math. Anal. Appl. , 351 : 277 – 284 .
  • Seddik , A . 2011 . Closed operator inequalities and open problems . Math. Inequal. Appl. , 14 : 147 – 154 .
  • Stampfli , JG . 1966 . Normality and the numerical range of an operator . Bull. Am. Math. Soc. , 72 : 1021 – 1022 .

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