Abstract
Let P and Q be two orthogonal projections on a separable Hilbert space, H. Wang, Du and Dou proved that there exists a unitary, U, with UPUâ1=Q, UQUâ1=P if and only if dimâĄ(kerâĄPâ©kerâĄ(1âQ))=dimâĄ(kerâĄQâ©kerâĄ(1âP)) (both may be infinite). We provide a new proof using the supersymmetric machinery of Avron, Seiler and Simon.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.