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Journal of Function Spaces
Volume 2017 (2017), Article ID 8520797, 5 pages
Research Article

The Embedding Theorem of an -Prebarreled Module into Its Random Biconjugate Space

Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, China

Correspondence should be addressed to Ming Liu

Received 9 December 2016; Accepted 2 March 2017; Published 30 April 2017

Academic Editor: Henryk Hudzik

Copyright © 2017 Xia Zhang and Ming Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We first prove Mazur’s lemma in a random locally convex module endowed with the locally -convex topology. Then, we establish the embedding theorem of an -prebarreled random locally convex module, which says that if is an -prebarreled random locally convex module such that has the countable concatenation property, then the canonical embedding mapping of onto is an -linear homeomorphism, where is the strong random biconjugate space of under the locally -convex topology.