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arXiv · 2410.06869

Characterizations of closed EP operators on Hilbert spaces

Arup Majumdar·P. Sam Johnson
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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 $\gamma(T) \leq r(T)$, where $T$ is a bounded EP operator, and $\gamma(T) \text{ and } r(T)$ represent the reduced minimum modulus and the spectral radius of $T$, respectively.

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Arup Majumdar, P. Sam Johnson. 2024-10-09. Characterizations of closed EP operators on Hilbert spaces. https://arxiv.org/abs/2410.06869

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