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math.FA2017
Spaces of -Dunford-Pettis and -Compact Operators on Locally Solid Vector Lattices
Nazife Erkursun Ozcan, Niyazi Anil Gezer, Omid Zabeti
Suppose is a locally solid vector lattice. It is known that there are several non-equivalent spaces of bounded operators on . In this paper, we consider some situations unde…
math.FA2017★ 2 cited
Dunford-Pettis and Compact Operators Based on Unbounded Absolute Weak Convergence
Nazife Erkursun Ozcan, Niyazi Anil Gezer, Omid Zabeti
In this paper, using the concept of unbounded absolute weak convergence (-convergence, for short) in a Banach lattice, we define two classes of continuous operators, named $ua…