Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I want to show, Image of $unit~ disc$ under a discontinuous linear functional from a Normed Linear Space is $\mathbb{C}$ . I know the Image is Unbounded

share|improve this question
    
What it is $unit dis$? Is it the unit sphere or the unit ball? –  shuhalo Mar 18 '11 at 9:59
    
${x\in X : ||x|| \le 1}$ –  SION Mar 18 '11 at 10:04

1 Answer 1

Hint: a discontinuous linear functional is still linear! So if $f(x)=z$, consider $f(wx)$, where $|w|=1$.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.