Complex structures on real vector lattices

DOI10.1016/j.jmaa.2016.03.040zbMath1347.46002OpenAlexW2299814987MaRDI QIDQ289532

Zalina Kusraeva

Publication date: 30 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.040

zbMATH Keywords

complex structureband preserving operatorlocally one-dimensional vector latticeuniversally complete vector lattice

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Boolean-valued analysis of order-bounded operators

Cites Work

• Banach lattices
• Banach spaces with small spaces of operators
• \(d\)-independence and \(d\)-bases
• Über den Absolutbetrag auf komplexen Vektorverbänden
• A generalization of a theorem on biseparating maps.
• Uniqueness of complex structure and real hereditarily indecomposable Banach spaces
• The Wickstead Problem
• Even infinite-dimensional real Banach spaces
• Extremely non-complex \(C(K)\)spaces
• Isometries on extremely non-complex Banach spaces
• The Unconditional Basic Sequence Problem
• The order boundedness of band preserving operators on uniformly complete vector lattices
• On the Existence and Uniqueness of Complex Structure and Spaces With "Few" Operators
• A Solution to Banach's Hyperplane Problem
• Inverses of disjointness preserving operators
• Complex Structures on Real Banach Spaces
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