Invariant subspaces for positive operators on locally convex solid Riesz spaces

• Autores: M. Çaglar, Z. Ercan
• Localización: Indagationes mathematicae, ISSN 0019-3577, Vol. 18, Nº 3, 2007, págs. 417-420
• Idioma: inglés
• DOI: 10.1016/s0019-3577(07)80030-9
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• Resumen

  • We prove that an x0-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) 418424] is also given.