Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces |
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Authors: | Hailegebriel E Gessesse Vladimir G Troitsky |
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Institution: | (1) Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada |
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Abstract: | In this paper we find invariant subspaces of certain positive quasinilpotent operators on Krein spaces and, more generally,
on ordered Banach spaces with closed generating cones. In the later case, we use the method of minimal vectors. We present
applications to Sobolev spaces, spaces of differentiable functions, and C*-algebras.
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Keywords: | Primary: 47A15 Secondary: 46B42 47B65 |
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