Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces

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 differentia...

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Veröffentlicht in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis 2008-05, Vol.12 (2), p.193-208
Hauptverfasser:	Gessesse, Hailegebriel E., Troitsky, Vladimir G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach spaces Calculus of Variations and Optimal Control Optimization Commuting Econometrics Exact sciences and technology Fourier Analysis Functional analysis Mathematical analysis Mathematics Mathematics and Statistics Operator Theory Potential Theory Sciences and techniques of general use Studies Vector space
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Zusammenfassung:	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.
ISSN:	1385-1292 1572-9281
DOI:	10.1007/s11117-007-2124-4