A NOTE ON MAJORIZING AND CONE ABSOLUTELY SUMMING OPERATORS IN BANACH LATTICES
作者:
JACOBUSJ. GROBLER,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1978)
卷期:
Volume 3,
issue 1
页码: 5-26
ISSN:1607-3606
年代: 1978
DOI:10.1080/16073606.1978.9631555
出版商: Taylor & Francis Group
关键词: 47805;47B10;47B55
数据来源: Taylor
摘要:
Operators T which are both majorizing and cone absolutely summing on a Banach lattice E are investigated. Compactness and nuclearity of such operators are discussed and it is shown that a trace can be defined for operators belonging to a large class of these operators. Special results are derived in the case where E is a Banach function space and T a kernel operator. Finally we derive strongly measurable representations for a certain class of cone absolutely summing operators thereby clarifying work done by Dinculeanu and J.J. Uhl.
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