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 Title: Subspaces of Dual-Less Spaces Author(s): Mora, Carlos Arturo Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(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. Issue Date: 1988 Type: Text Description: 50 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988. URI: http://hdl.handle.net/2142/71266 Other Identifier(s): (UMI)AAI8823205 Date Available in IDEALS: 2014-12-16 Date Deposited: 1988
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