- If \( \displaystyle p(0)=0 \) and \( \displaystyle p \) is continuous at \( 0 \), then \( \displaystyle p \) is continuous at every \( \displaystyle x \in X \)
- If \( \displaystyle p \) is non negative outside a sphere \( \displaystyle \left\{ x \in X \;\big| \; \|x\|=r \right\} \), then \( \displaystyle p \) is non negative on \( \displaystyle X \)
Subadditive Function
-
- Community Team
- Posts: 314
- Joined: Tue Nov 10, 2015 8:25 pm
Subadditive Function
Let \( \displaystyle X \) be a normed space and let \( \displaystyle p: X \longrightarrow \mathbb{R} \) be a subadditive function. Show that
Create an account or sign in to join the discussion
You need to be a member in order to post a reply
Create an account
Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute
Sign in
Who is online
Users browsing this forum: No registered users and 13 guests