Geodesic
The strong BD property in Banach lattices
Filomat, Tome 37 (2023) no. 10, p. 3063

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DOI

We introduce the concept of strong BD property in Banach lattices and we characterize Banach lattices with this property. Also, by introducing the class of almost limited (resp. Dunford-Pettis) weakly completely continuous operators from an arbitrary Banach lattice E to another F, we give some properties of them related to some well known classes of operators and related to the strong BD (resp. RDP *) property of the Banach lattice E.
DOI : 10.2298/FIL2310063A
Classification : 46B42, 46B50, 47B65
Keywords: almost limited set, almost DP set, weakly completely continuous operator, RDP∗ property, BD property 
Halimeh Ardakani; Manijeh Salimi; Mohammad S Moshtaghioun. The strong BD property in Banach lattices. Filomat, Tome 37 (2023) no. 10, p. 3063 . doi: 10.2298/FIL2310063A
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     author = {Halimeh Ardakani and Manijeh Salimi and Mohammad S Moshtaghioun},
     title = {The strong {BD} property in {Banach} lattices},
     journal = {Filomat},
     pages = {3063 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310063A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310063A/}
}
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