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A note on Huijsmans-de Pagter problem in ordered Banach algebras |
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| Authors: | Roman Drnovšek |
| Institution: | 1.Department of Mathematics, Faculty of Mathematics and Physics,University of Ljubljana,Ljubljana,Slovenia |
| Abstract: | We give an example of a positive element a in some ordered Banach algebra \(\mathcal A\) such that its spectrum is equal to \(\{1\}\) and it is not greater than or equal to the unit element of \(\mathcal A\). |
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