3 papers
math.FA2026
Simultaneous Williamson's normal form for positive operators
Rudra Kamat, Anmary Tonny
We prove a simultaneous Williamson's normal form for two symplectically commuting positive operators on a real symplectic Hilbert space . Under a natural co…
math-ph2024
Simultaneous symplectic spectral decomposition of positive semidefinite matrices
Rudra R. Kamat, Hemant K. Mishra
We establish necessary and sufficient conditions on simultaneous symplectic spectral decomposition of a family of real positive semidefinite matrices with symplectic…
math.RA2023
On Simultaneous Symplectic Diagonalization in the sense of Williamson's Theorem
Rudra Kamat
Williamson's theorem is well known for symmetric matrices. In this paper, we state and re-derive some of the cases of Williamson's theorem for symmetric positive-semi definite matr…