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A note on Huijsmans-de Pagter problem in ordered Banach algebras

Functional Analysis 2018-03-30 v1

Abstract

We give an example of a positive element aa in some ordered Banach algebra AA such that its spectrum is equal to {1}\{1\} and it is not greater than or equal to the unit element of AA.

Keywords

Cite

@article{arxiv.1803.10942,
  title  = {A note on Huijsmans-de Pagter problem in ordered Banach algebras},
  author = {Roman Drnovšek},
  journal= {arXiv preprint arXiv:1803.10942},
  year   = {2018}
}

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3 pages