Yang Changsen. On the Critical Points of the Map[J]. Applied Mathematics and Mechanics, 2000, 21(4): 437-440.
Citation: Yang Changsen. On the Critical Points of the Map[J]. Applied Mathematics and Mechanics, 2000, 21(4): 437-440.

On the Critical Points of the Map

  • Received Date: 1998-03-23
  • Rev Recd Date: 1999-11-23
  • Publish Date: 2000-04-15
  • Suppose A,B and C are the bounded linear operators on a Hilbert space H,when A has a generalized inverse A- such that (AA-)*=AA- and B has a generalized inverse B- such that (B-B)*=B-B, the general characteristic forms for the critical points of the map Fp:X→‖AXB-C‖pp(1<p<∞),have been obtained,it is a generalization for P.J.Maher result about p=2.Similarly,the same question has been discussed for several operators.
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