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Article

Aqzzouz, Belmesnaoui ; Elbour, Aziz
Some characterizations of order weakly compact operator. (English). Mathematica Bohemica, vol. 136 (2011), issue 1, pp. 105-112
MSC: 46A40, 46B40, 46B42, 47B07, 47B60 | MR 2807713 | Zbl 1224.46035 | DOI: 10.21136/MB.2011.141454
Keywords:
order weakly compact operator; order continuous norm; discrete Banach lattice; weakly sequentially continuous lattice operations
Summary:
We introduce the notion of order weakly sequentially continuous lattice operations of a Banach lattice, use it to generalize a result regarding the characterization of order weakly compact operators, and establish its converse. Also, we derive some interesting consequences.
References:
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