Mackey topologies and mixed topologies in Riesz spaces

DOI10.1007/s11117-005-0036-8zbMath1111.46005OpenAlexW1989363340MaRDI QIDQ850598

Jurie Conradie

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0036-8

zbMATH Keywords

Riesz spaceMackey topologysymmetric operator spacegeneralized inductive limit topologypre-Lebesgue topology

Mathematics Subject Classification ID

Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Noncommutative function spaces (46L52) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

An extension of Kracht's theorem to generalized Sahlqvist formulas ⋮ On equicontinuity and tightness of bi-continuous semigroups ⋮ STRICT TOPOLOGY AS A MIXED TOPOLOGY ON LEBESGUE SPACES

Cites Work

• Locally convex lattices
• On the finest Lebesgue topology on the space of essentially bounded measurable functions
• Compactness properties of abstract kernel operators
• Duality results for order precompact sets in locally solid Riesz spaces
• Strict, weighted, and mixed topologies and applications
• Generalized precompactness and mixed topologies
• Singular traces on semifinite von Neumann algebras
• Théorie des bornologies et applications. (Theory of bornologies and applications)
• Mackey topologies which are locally convex Riesz topologies
• The strict topology, separable measures, and paracompactness
• A generalization of two-norm spaces
• Linear spaces with mixed topology
• Order Precompactness in Topological Riesz Spaces
• Weakly compact subsets of symmetric operator spaces
• A Generalized Form of Inductive-Limit Topology for Vector Spaces
• The Coarsest Hausdorff Lebesgue Topology
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