, Volume 10, Issue 3, pp 591–606 | Cite as

Mackey Topologies and Mixed Topologies in Riesz Spaces



The possibility of characterizing the Mackey topology of a dual pair of vector spaces as a generalized inductive limit (or mixed) topology is investigated. Positive answers are given for a wide range of dual pairs of Riesz spaces (vector lattices) and non-commutative Banach function spaces (or symmetric operator spaces).

Mathematics Subject Classification (2000)

46A70 46A40 46L52 


Generalized inductive limit topology Mackey topology pre–Lebesgue topology Riesz space symmetric operator space 


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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Department of Mathematics and Applied MathematicsUniversity of Cape TownRondeboschSouth Africa

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