Abstract and Applied Analysis (Jan 2014)

Note on the Invariance Properties of Operator Products Involving Generalized Inverses

  • Xiaoji Liu,
  • Miao Zhang,
  • Yaoming Yu

DOI
https://doi.org/10.1155/2014/213458
Journal volume & issue
Vol. 2014

Abstract

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We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.