대한수학회지 (Journal of the Korean Mathematical Society)

  • 제57권3호
  • /
  • Pages.691-706
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  • 2020
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

  • Qin, Mengjie (Department of Mathematics Shanghai Normal University) ;
  • Xu, Qingxiang (Department of Mathematics Shanghai Normal University) ;
  • Zamani, Ali (Department of Mathematics Farhangian University)
  • 투고 : 2019.04.28
  • 심사 : 2019.08.14
  • 발행 : 2020.05.01
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초록

Necessary and sufficient conditions are provided under which the weighted Moore-Penrose inverse A†MN exists, where A is an adjointable operator between Hilbert C⁎-modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore-Penrose inverses A†MN is clarified when A is fixed, whereas M and N are variable. Perturbation analysis for the weighted Moore-Penrose inverse is also provided.

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참고문헌

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