Sequential convergence in the order duals of certain classes of Riesz spaces-Reference-Cited by-同舟云学术

Sequential convergence in the order duals of certain classes of Riesz spaces

Published:1975 Issue:0 Volume:203 Page:391-403
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Dodds P. G.

Abstract

Several results of Hahn-Vitali-Saks type are given for sequences in the order dual of an Archimedean Riesz space with separating order dual. The class of Riesz spaces considered contains those which are Dedekind σ \sigma -complete, or have the projection property or have an interpolation property introduced by G. L. Seever. The results depend on recent work of O. Burkinshaw and some results of uniform boundedness type.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1975-203-00/S0002-9947-1975-0358282-0/S0002-9947-1975-0358282-0.pdf

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