Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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An Application of Furuta Inequality to Linear Operator Equations

  • Ahn, Eun-Kyung (Department of Mathematics, Kyungpook National University) ;
  • Lim, Yong-Do (Department of Mathematics, Kyungpook National University)
  • Received : 2009.10.09
  • Accepted : 2009.11.28
  • Published : 2009.12.31
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Abstract

A class of Hermitian operators B admitting a positive semidefinite solution of the linear operator equation ${\sum}^n_{j=1}A^{n-j}XA^{j-1}=B$ for a fixed positive definite operator A is given via the Furuta inequality.

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References

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