Abstract
The symplectic inner product on C2n is the sesquilinear form given by[x,y]=〈x,J2ny〉, where J2n is the real skew-symmetric, orthogonal 2×2 block matrix [0In−In0]. We derive results analogous to the spectral theorem and singular value decomposition for complex matrices such as Hamiltonian and J-normal matrices, in the sesquilinear symplectic inner product spaces.
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.
