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Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces

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 differentiable functions, and C*-algebras. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces

Positivity , Volume 12 (2) – Jan 11, 2008

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science + Business Media B.V.
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-007-2124-4
Publisher site
See Article on Publisher Site

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.

Journal

PositivitySpringer Journals

Published: Jan 11, 2008

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