TITLE
ON THE NONSINGULARITY OF LINEAR COMBINATIONS OF GENERALIZED PROJECTORS
AUTHOR(S)
Marina Tošić
ABSTRACT
This paper investigates the nonsingularity of linear combinations of generalized projectors. We establish necessary and sufficient conditions under which a linear combination of such projectors is invertible. In addition, explicit expressions for the inverse are derived for cases where invertibility holds. The presented results generalize known facts for classical projectors and provide a systematic framework for analyzing linear combinations in terms of their algebraic and spectral properties. Illustrative examples demonstrate the applicability of the obtained formulas and conditions.
DOI
DOWNLOAD
How to cite this article:
Marina Tošić, ON THE NONSINGULARITY OF LINEAR COMBINATIONS OF GENERALIZED PROJECTORS, UNITECH – SELECTED PAPERS - 2025