Geodesic
Some characterizations of order weakly compact operator
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 105-112

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MR Zbl
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.
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.
DOI : 10.21136/MB.2011.141454
Classification : 46A40, 46B40, 46B42, 47B07, 47B60
Keywords: order weakly compact operator; order continuous norm; discrete Banach lattice; weakly sequentially continuous lattice operations 
Aqzzouz, Belmesnaoui; Elbour, Aziz. Some characterizations of order weakly compact operator. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 105-112. doi: 10.21136/MB.2011.141454
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