Hello everyone,(adsbygoogle = window.adsbygoogle || []).push({});

I have a problem and cannot solve it. Could you help? Here it is

We have a normed space and an uncountable Hamel basis of it. Prove that it is not a Banach space.

Should I use Baire theorem? Any suggestions?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Prove that a normed space is not Banach

**Physics Forums | Science Articles, Homework Help, Discussion**