Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces
Joint Authors
Chansangiam, Pattrawut
Ploymukda, Arnon
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces.
This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices.
We investigate algebraic properties, positivity, and monotonicity of the Khatri-Rao product.
Moreover, there is a unital positive linear map taking Tracy-Singh products to Khatri-Rao products via an isometry.
American Psychological Association (APA)
Ploymukda, Arnon& Chansangiam, Pattrawut. 2016. Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces. Journal of Mathematics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108966
Modern Language Association (MLA)
Ploymukda, Arnon& Chansangiam, Pattrawut. Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces. Journal of Mathematics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1108966
American Medical Association (AMA)
Ploymukda, Arnon& Chansangiam, Pattrawut. Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces. Journal of Mathematics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108966
