On Property (b) of Vector Lattices

By Ş. Alpay, B. Altın, C. Tonyali. 2003

80 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/473dbb724f095f45c1d6049ad8882606582d5653

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In Applied Mathematics

1. W. Wnuk

In Mathematical Physics

1. W. Wnuk

Citations in the corpus

• Some characterizations of almost Dunford–Pettis operators and applications (2011, background): “Remark Remember that in their paper, Alpay–Altin–Tonyali [2] defined the class of b-weakly compact operators from a Banach lattice E into a Banach space X as that which carries each subset of E , which is order bounded in the topological bidual E ′′, into a relatively weakly compact subset of X .”
• The duality problem for the Class of b-weakly compact operators (2009, background): “Recall from [4] that a subset A of a vector lattice E is called b-order bounded in E if it is order bounded in the order bidual (E∼)∼.”