Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 7, Number 2 (2016), 270-280.
Strong relatively compact Dunford–Pettis property in Banach lattices
In this paper, the concept of the strong relatively compact Dunford–Pettis property (strong DPP) in Banach lattices is introduced and Banach lattices with the strong DPP are characterized. Next, by introducing the class of almost Dunford–Pettis completely continuous operators from an arbitrary Banach lattice to another , we give some properties of them related to some well-known classes of operators and, especially, some related to the strong DPP of the Banach lattice .
Ann. Funct. Anal., Volume 7, Number 2 (2016), 270-280.
Received: 10 April 2015
Accepted: 2 August 2015
First available in Project Euclid: 29 February 2016
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Ardakani, Halimeh; Modarres Mosadegh, S. M. Sadegh. Strong relatively compact Dunford–Pettis property in Banach lattices. Ann. Funct. Anal. 7 (2016), no. 2, 270--280. doi:10.1215/20088752-3475634. https://projecteuclid.org/euclid.afa/1456754404