TL;DR
This paper provides examples of EP and non-EP operators to demonstrate that previous results claiming certain properties are incorrect, even in Hilbert space contexts.
Contribution
It presents counterexamples to previously published theorems about EP operators, challenging their validity.
Findings
Counterexamples show previous results are incorrect
EP and non-EP operators can behave differently than claimed
Highlights the need for revised theorems in operator theory
Abstract
We give some examples of EP and non-EP operators to show that the main results of Mohammadzadeh Karizakia {\it et al} [Some results about EP modular operators, {\it Linear and Multilinear Algebra}, DOI: 10.1080/03081087.2020.1844613] are not correct even in the case of Hilbert spaces.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Differential Equations and Boundary Problems