An Isomorphic Characterization of L₁-Spaces

Authors

Vlad Timofte, University of Mississippi

Document Type

Lecture

Publication Date

2-4-2008

Abstract

The talk will discuss a recent (2008) representation theorem for Hausdorff topological ordered vector spaces with the Riesz decomposition property, locally solid and sequentially complete topology, and the positive cone generated by a closed bounded set not containing the origin. Every such space is isomorphic to some L₁-space. The isometric part of the main result implies the well-known representation theorem of Kakutani for (AL)-spaces.

Relational Format

presentation

Recommended Citation

Timofte, Vlad, "An Isomorphic Characterization of L₁-Spaces" (2008). Analysis Seminar. 38.
https://egrove.olemiss.edu/math_analysis/38