Abstract
This section is concerned with spectral properties of positive linear operators on a Banach lattice. We start with classical theorems concerning the spectral behaviour of positive linear operators including the Krein-Rutman theorems. We will formulate and prove these theorems only for Banach lattices, although they hold with similar proofs for more general classes of ordered Banach spaces. The interested reader will find these general versions in Schaefer (1971), appendix.
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© 1991 Springer-Verlag Berlin Heidelberg
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Meyer-Nieberg, P. (1991). Spectral Theory of Positive Operators. In: Banach Lattices. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76724-1_4
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DOI: https://doi.org/10.1007/978-3-642-76724-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54201-8
Online ISBN: 978-3-642-76724-1
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