Abstract
We continue our development of spectral theory for positive elements in an ordered Banach algebra. In particular we provide a suitable version of the Krein-Rutman theorem, obtain some results concerning the peripheral spectrum of a positive element and provide a characterisation of positive quasi inessential elements, in the context of an ordered Banach algebra.
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Mouton (née Rode), S., Raubenheimer, H. More Spectral Theory in Ordered Banach Algebras. Positivity 1, 305–317 (1997). https://doi.org/10.1023/A:1009717500980
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DOI: https://doi.org/10.1023/A:1009717500980