Several Inequalities for Khatri-Rao Products of Hilbert Space Operators

Authors

  • Arnon Ploymukda Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Bangkok 10520
  • Pattrawut Chansangiam Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Rd., Bangkok 10520

DOI:

https://doi.org/10.26713/cma.v8i1.518

Keywords:

Tensor product, Khatri-Rao product, Tracy-Singh product, Moore-Penrose inverse, Unital positive linear map

Abstract

We establish several inequalities for Khatri-Rao products of Hilbert space operators, involving ordinary products, ordinary powers, ordinary inverses, and Moore-Penrose inverses. Kantorovich type inequalities concerning Khatri-Rao products are also investigated. Our results generalize some matrix inequalities in the literature. In our case, we must impose some mild conditions on operators such as the closeness of their ranges. Furthermore, we develop new operator inequalities by using block partitioning technique and unital positive linear maps.

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References

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Published

30-06-2017
CITATION

How to Cite

Ploymukda, A., & Chansangiam, P. (2017). Several Inequalities for Khatri-Rao Products of Hilbert Space Operators. Communications in Mathematics and Applications, 8(1), 45–60. https://doi.org/10.26713/cma.v8i1.518

Issue

Vol. 8 No. 1 (2017)

Section

Research Article

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