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https://hdl.handle.net/2142/71266
Description
Title
Subspaces of Dual-Less Spaces
Author(s)
Mora, Carlos Arturo
Issue Date
1988
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Abstract
We find sufficient conditions for a sequence of random variables to have a subsequence whose linear span has a non-trivial dual in the topology of convergence in measure. In particular, we study sequences of characteristic functions. We also consider basic and semi-basic sequences in F-spaces; the space of all sequences with the topology of componentwise convergence and its presence in a subspace of $L\sb0$. A property of the Banach sublattices of $L\sb0$ is also included.
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