3 papers
math.FA2026
Norm Inequalities for Complementable Operators and Parallel Sums
Sachin Manjunath Naik, P. Sam Johnson
This paper investigates the structural and quantitative behaviors of complementable operators on Hilbert spaces, focusing on their norm characteristics and geometric profiles. We e…
math.FA2025
On unbounded complementable operators
Sachin Manjunath Naik, P. Sam Johnson
The concept of complementability is extended from bounded operators to densely defined operators on Hilbert spaces. By introducing appropriate projections and decomposition techniq…
math.FA2025
Convergence of Complementable Operators
Sachin Manjunath Naik, P. Sam Johnson
Complementable operators extend classical matrix decompositions, such as the Schur complement, to the setting of infinite-dimensional Hilbert spaces, thereby broadening their appli…