Banach space & Hilbert space

Feb 2010
10
0
Bangladesh
I need an example of a Banach space which is not a Hilbert space with proof.
 
Jun 2010
6,318
2,433
CT, USA
Check out Kreyzsig's Introductory Functional Analysis with Applications, page 133. Your example is \(\displaystyle l^{p},\) with \(\displaystyle p\not=2.\)