Abstract
In this paper, we are concerned with a 3 × 3 block operator matrices acting in a Banach or Hilbert space X 1 × X 2 × X 3 given by A 1 B 1 C 1 A 2 B 2 C 2 A 3 B 3 C 3 , where the linear entries are assumed to be unbounded. We study the closure as well as the self-adjointness in the case where the linear operators A 2 and A 3 are A 1 -bounded, B 1 and B 3 are B 2 -bounded and C 1 and C 2 are C 3 -bounded. These results are of importance to a non-relativistic three-channel potential scattering model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
