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

I have a (infinite dimensional) vector space and defined an inner product on it.

The vectors element are infinite sequence of real numbers [tex](x_1, x_2,\ldots)[/tex].

The inner product has the common form: [tex]x_iy_i[/tex]

The problem now is that the vectors have an infinite number of elements, so the L2-norm of many vectors would be eventually equal to +Infinity.

- Is that admitted?

- How can one define anorthonormalbase for such a space?

**Physics Forums - The Fusion of Science and Community**

# L2 norm = +Infinity

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: L2 norm = +Infinity

Loading...

**Physics Forums - The Fusion of Science and Community**