@article{article_622718, title={Two problems in the theory of disjointness preserving operators}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={50}, pages={361–364}, year={2021}, DOI={10.15672/hujms.622718}, author={Turan, Bahri and Özcan, Kazim}, keywords={Riesz space, disjointness preserving operator, Hart’s Theorem}, abstract={In this short note, our aim is to solve two problems in the theory of disjointness preserving operators. Firstly, we obtain the converse direction of Hart’s Theorem which was given in [D.R. Hart, Some properties of disjointness preserving operators, Mathematics Proceedings, 1985]. As a result, we get an affirmative solution of an open problem given by Y.A. Abramovich and A.K. Kitover in [Inverses of disjointness preserving operators, Mem. Amer. Math. Soc., 2000]. <br />}, number={2}, publisher={Hacettepe University}