Abstract
Let E be an order complete Banach function lattice and T a positive, eventually compact, order continuous operator on E. We study necessary conditions under which the peripheral spectrum of T is fully cyclic in terms of certain bands of the underlying Banach function lattice E. A set of sufficient conditions is also given. Examples are presented to demonstrate our methods.
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Jang, RJ. On the Peripheral Spectrum of Order Continuous, Positive Operators. Positivity 4, 119–130 (2000). https://doi.org/10.1023/A:1009883407693
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DOI: https://doi.org/10.1023/A:1009883407693