Question

give an example of a space which is not a normed space​

Answer 1

Answer:

I hope it helpful

Explanation:

Let C be the unit circle {x ∈ V | ||x|| = 1}. This is another example of a metric space that is not a normed vector space: V is a metric space, using the metric defined from || · ||, and therefore, according to the above remark, so is C; but C is not a vector space, so it is not a normed vector space.