Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 1 (2018), 101-110.
On the modulus of disjointness-preserving operators and --compact operators on Banach lattices
We study several properties of the modulus of order bounded disjointness-preserving operators. We show that, if is an order bounded disjointness-preserving operator, then and have the same compactness property for several types of compactness. Finally, we characterize Banach lattices having --compact (resp., -compact) operators defined between them as having a modulus that is --compact (resp., -compact).
Ann. Funct. Anal., Volume 9, Number 1 (2018), 101-110.
Received: 7 February 2017
Accepted: 27 February 2017
First available in Project Euclid: 14 August 2017
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Haghnezhad Azar, Kazem; Alavizadeh, Razi. On the modulus of disjointness-preserving operators and $b$ - $AM$ -compact operators on Banach lattices. Ann. Funct. Anal. 9 (2018), no. 1, 101--110. doi:10.1215/20088752-2017-0027. https://projecteuclid.org/euclid.afa/1502697620