Functions and Analysis

    

The Secret Side of Reflexivity

Authors: Hans Detlef Hüttenbach

It is proven that every complete, metrizable locally convex space (a.k.a. F-space) is reflexive. This in particular disproves an old conjecture that L^\infty was the dual of L^1. It is shown that indeed, L^\infty contains a subspace of overcountable dimension not contained in the dual of L^1.

Comments: 3 Pages. (It's really more than 10 years old.)

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Submission history

[v1] 2012-12-31 08:22:43

Unique-IP document downloads: 242 times

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