- Thread starter
- #1
- Feb 5, 2012
- 1,621
Hi everyone, 
Here's one of the questions I had when trying to solve a problem.
Let \(K\subset \mathbb{R}^{n}\) be a closed symmetric convex subset with non empty interior. Let \(\alpha>\beta\) where \(\alpha,\,\beta\in \mathbb{R}\). Then prove that,
\[\beta K\subset\alpha K\]
I have tried various things but didn't get a breakthrough. Any hint on how to solve this would be greatly appreciated.
Here's one of the questions I had when trying to solve a problem.
Let \(K\subset \mathbb{R}^{n}\) be a closed symmetric convex subset with non empty interior. Let \(\alpha>\beta\) where \(\alpha,\,\beta\in \mathbb{R}\). Then prove that,
\[\beta K\subset\alpha K\]
I have tried various things but didn't get a breakthrough. Any hint on how to solve this would be greatly appreciated.