ON BAND IRREDUCIBLE OPERATORS ON BANACH LATTICES

Dedicated to Prof. H.H. Schaefer on occasion of his 60th birthday

ON BAND IRREDUCIBLE OPERATORS ON BANACH LATTICES

Published in: Quaestiones Mathematicae
Volume 10 , issue 4 , 1987 , pages: 339–350
DOI: 10.1080/16073606.1987.9632133
Author(s): V. Caselles Facultad de Matemáticas, Spain
Keywords: 47B55
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Abstract

In this note we prove an extension of B. de Pagter's theorem (positive, compact, irreducible operators on Banach lattices are not quasi-nilpotent) for positive, band irreducible operators on Banach lattices satisfying some additional conditions.
« ON QUESTIONS CONCERNING STRONG RADICALS OF ASSOCIATIVE RINGS
ÜBER DIE UNGLEICHUNG ZWISCHEN DEM GEOMETRISCHEN UND DEM ARITHMETISCHEN MITTEL »

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