2 citations · 2 across the 2 of their papers we have counts for
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.SP2023
A Note on Approximating the Symplectic Spectrum
V. B. Kiran Kumar, Anmary Tonny
The symplectic eigenvalues play a significant role in finite mode quantum information theory, and Williamson normal form proves to be a valuable tool in this area. Understanding th…
math.SP2022★ 2 cited
An Order Relation between Eigenvalues and Symplectic Eigenvalues of a Class of Infinite-Dimensional Operators
Tiju Cherian John, V. B. Kiran Kumar, Anmary Tonny
In this article, we obtain some results in the direction of ``infinite dimensional symplectic spectral theory". We prove an inequality between the eigenvalues and symplectic eigenv…