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

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.

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