4 papers
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…
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…
Frame Scaling by Graphs
Ayyanar K, P. Sam Johnson, A. Senthil Thilak
In this paper, we investigate the scalability of a given frame in by using graphs. For each frame in , we associate a simple undirected graph $G(ϕ)…
Complementable Operators and their Schur Complements
Sachin Manjunath Naik, P. Sam Johnson
In this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these operators using a single Douglas solution. We demonst…