A REMARK ON SOME INEQUALITIES FOR THE SCHATTEN p-NORM

  • HEDAYATIAN, K. (Dept. of Mathematics, Shiraz University) ;
  • BAHMANI, F. (Dept. of Mathematics, Shiraz University)
  • Received : 2002.03.08
  • Published : 2002.07.30

Abstract

For a closed densely defined linear operator T on a Hilbert space H, let ${\prod}$ denote the function which corresponds to T, the orthogonal projection from $H{\oplus}H$ onto the graph of T. We extend some ordinary norm ineqralites comparing ${\parallel}{\Pi}(A)-{\Pi}(B){\parallel}$ and ${\parallel}A-B{\parallel}$ to the Schatten p-norm where A and B are bounded operators on H.

Keywords

Equivalent metrics;operator norm;Schatten p-norm

Acknowledgement

Supported by : Shiraz University Research Council

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