Subspaces of Dual-Less Spaces

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Mora, Carlos Arturo

• Mathematics

Identifier

(UMI)AAI8823205

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71266