Invariant subspaces for positive operators on locally convex solid Riesz spaces

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Caglar M., Ercan Z.

INDAGATIONES MATHEMATICAE-NEW SERIES, vol.18, no.3, pp.417-420, 2007 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 18 Issue: 3
• Publication Date: 2007
• Doi Number: 10.1016/s0019-3577(07)80030-9
• Journal Name: INDAGATIONES MATHEMATICAE-NEW SERIES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.417-420
• Istanbul Kültür University Affiliated: Yes

Abstract

We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of Abramovich, Aliprantis and Burkinshaw [J. Funct. Anal. 115 (1993) 418-424] is also given.