Operator inequalities involving Khatri-Rao Sums and Moore-Penrose inverses

Authors

  • Arnon Ploymukda King Mongkut's Institute of Technology Ladkrabang
  • Pattrawut Chansangiam Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang http://orcid.org/0000-0002-9885-5685

DOI:

https://doi.org/10.11113/mjfas.v0n0.711

Keywords:

tensor product, Khatri-Rao product (sum), Tracy-Singh product (sum), Moore-Penrose inverse, operator inequality

Abstract

We establish relations between the Khatri-Rao sum of Hilbert space operators and ordinary products, powers, ordinary inverses, and Moore-Penrose inverses in terms of inequalities. In particular, such relations hold for the tensor sum of operators and the Khatri-Rao sum of complex matrices.

References

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Published

26-12-2017