Compact operators in Banach lattices

P. G. Dodds; D. H. Fremlin

doi:10.1007/BF02760610

Compact operators in Banach lattices

P. G. Dodds, D. H. Fremlin

Research output: Contribution to journal › Article › peer-review

212 Citations (Scopus)

Abstract

Disjoint sequence methods from the theory of Riesz spaces are used to study compact operators on Banach lattices. A principal new result of the paper is that each positive map from a Banach lattice E to a Banach lattice F with compact majorant is itself compact provided the norms on E′ and F are order continuous.

Original language	English
Pages (from-to)	287-320
Number of pages	34
Journal	Israel Journal of Mathematics
Volume	34
Issue number	4
DOIs	https://doi.org/10.1007/BF02760610
Publication status	Published - Dec 1979

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Compact operators in Banach lattices

Abstract

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