Abstract
This is an announcement (without proofs) of several results obtained recently by the authors. We present sufficient conditions for a positive operator to have strictly positive spectral radius. The conditions are given in terms of commutativity properties. Some of these results can be proven by formulating a lattice hyperinvariant subspace theorem è Lomonosov. The results obtained are either new or far reaching extensions of well known theorems.
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© 1991 Springer-Verlag Berlin Heidelberg
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Abramovich, Y.A., Aliprantis, C.D., Burkinshaw, O. (1991). Irreducible Positive Operators and Hyperinvariant Ideals. In: Positive Operators, Riesz Spaces, and Economics. Studies in Economic Theory, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58199-1_12
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DOI: https://doi.org/10.1007/978-3-642-58199-1_12
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