Characterizations of closed EP operators on Hilbert spaces
Abstract
In this paper, we present intriguing findings that characterize both the closed (unbounded) and bounded EP operators on Hilbert spaces. Additionally, we demonstrate the result $γ(T) \leq r(T)$, where $T$ is a bounded EP operator, and $γ(T) \text{ and } r(T)$ represent the reduced minimum modulus and the spectral radius of $T$, respectively.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Algebra and Logic
Physics and Engineering Research Articles
Publication details
- Journal / source
- Operators and Matrices
- Publisher
- Element d.o.o.
- Issue
- 2
- Pages
- 129–145
- Publication date
- 1 January 2026
- Language
- EN