5 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…
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…
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…
Generalized Principal Pivot Transform and its Inheritance Properties
K. Kamaraj, P. Sam Johnson, Sachin Manjunath Naik
In this paper, some more properties of the generalized principal pivot transform are derived. Necessary and sufficient conditions for the equality between Moore-Penrose inverse of…