English

Characterizations of closed EP operators on Hilbert spaces

Functional Analysis 2024-12-10 v2

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)r(T)\gamma(T) \leq r(T), where TT is a bounded EP operator, and γ(T) and r(T)\gamma(T) \text{ and } r(T) represent the reduced minimum modulus and the spectral radius of TT, respectively.

Keywords

Cite

@article{arxiv.2410.06869,
  title  = {Characterizations of closed EP operators on Hilbert spaces},
  author = {Arup Majumdar and P. Sam Johnson},
  journal= {arXiv preprint arXiv:2410.06869},
  year   = {2024}
}