Functions and Analysis

1212 Submissions

[2] viXra:1212.0168 [pdf] submitted on 2012-12-31 08:22:43

The Secret Side of Reflexivity

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

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.
Category: Functions and Analysis

[1] viXra:1212.0137 [pdf] submitted on 2012-12-23 13:38:03

The Answers to Two Millennium Prize Problems

Authors: Andrew Nassif
Comments: 5 Pages.

For ten long years these two problems have not been solved after being offered a prize. Solving the Riemann hypothesis will bring dimensional analysis in mathematics and physics. Solving the P vs NP will increase our knowledge in programing and provide a wide expansion of mathematical understanding and industrilization.
Category: Functions and Analysis