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Mora, Carlos Arturo 2014-12-16T06:18:22Z 2014-12-16T06:18:22Z 10000-01-01 1988 1988 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. Made available in DSpace on 2014-12-16T06:18:22Z (GMT). No. of bitstreams: 1 8823205.pdf: 1478695 bytes, checksum: 7d7d187d9b734c970e6387cf7e2479d9 (MD5) Previous issue date: 1988 Embargo set by: Seth Robbins for item 71432 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 50 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988. http://hdl.handle.net/2142/71266 (UMI)AAI8823205 Mathematics Subspaces of Dual-Less Spaces text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.