Positive solutions to a system of adjointable operator equations over Hilbert -modules

✍ Scribed by Qing-Wen Wang; Chang-Zhou Dong

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 188 KB
• Volume: 433
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2010.05.023

✦ Synopsis

We present necessary and sufficient conditions for the existence of a positive solution to the system of adjointable operator equations

We also derive a representation for a general positive solution to this system when the solvability conditions are satisfied. The results of this paper extend some known results in the literature.