scientific article; zbMATH DE number 7164383
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Publication:5214051
Omid Zabeti, Niyazi Anıl Gezer, Nazife Erkurşun Özcan
Publication date: 6 February 2020
Full work available at URL: https://dergipark.org.tr/en/pub/tbtkmath/issue/50821/662559
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Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ordered normed spaces (46B40)
Related Items (6)
Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices ⋮ Weakly unbounded norm topology and \textit{wun}-Dunford-Pettis operators ⋮ Unnamed Item ⋮ Some results on unbounded absolute weak Dunford-Pettis operators ⋮ Unbounded continuous operators and unbounded Banach-Saks property in Banach lattices ⋮ On orthogonally additive operators in \(C\)-complete vector lattices
Cites Work
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- Unbounded norm topology in Banach lattices
- Measures of non-compactness of operators on Banach lattices
- Banach lattices
- Unbounded norm convergence in Banach lattices
- Compact-like operators in lattice-normed spaces
- \(u\tau \)-convergence in locally solid vector lattices
- Unbounded \(p\)-convergence in lattice-normed vector lattices
- Unbounded order convergence in dual spaces
- Unbounded order convergence and application to martingales without probability
- Partially ordered linear spaces and locally convex linear topological spaces
- Uo-convergence and its applications to Cesàro means in Banach lattices
- Ergodic theorems in semi-ordered linear spaces
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