Solutions to the System of Operator Equations A1X=C1, XB2=C2, and A3XB3=C3 on Hilbert C*-Modules
Joint Authors
Hou, Enran
Fang, Xiaochun
Dong, Ge
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-25
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the solvability of the system of the adjointable operator equations A1X=C1, XB2=C2, and A3XB3=C3 over Hilbert C*-modules.
We give necessary and sufficient conditions for the existence of a solution and a positive solution of the system.
We also derive representations for a general solution and a positive solution to this system.
The above results generalize some recent results concerning the equations for operators with closed ranges.
American Psychological Association (APA)
Fang, Xiaochun& Hou, Enran& Dong, Ge. 2013. Solutions to the System of Operator Equations A1X=C1, XB2=C2, and A3XB3=C3 on Hilbert C*-Modules. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-501240
Modern Language Association (MLA)
Fang, Xiaochun…[et al.]. Solutions to the System of Operator Equations A1X=C1, XB2=C2, and A3XB3=C3 on Hilbert C*-Modules. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-501240
American Medical Association (AMA)
Fang, Xiaochun& Hou, Enran& Dong, Ge. Solutions to the System of Operator Equations A1X=C1, XB2=C2, and A3XB3=C3 on Hilbert C*-Modules. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-501240
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501240
