A note on Huijsmans-de Pagter problem in ordered Banach algebras
Abstract
We give an example of a positive element $a$ in some ordered Banach algebra $A$ such that its spectrum is equal to $\{1\}$ and it is not greater than or equal to the unit element of $A$.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2018
- DOI:
- 10.48550/arXiv.1803.10942
- arXiv:
- arXiv:1803.10942
- Bibcode:
- 2018arXiv180310942D
- Keywords:
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- Mathematics - Functional Analysis
- E-Print:
- 3 pages