1 results
AN EXAMPLE CONCERNING BOUNDED LINEAR REGULARITY OF SUBSPACES IN HILBERT SPACE
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 89 / Issue 2 / April 2014
- Published online by Cambridge University Press:
- 12 September 2013, pp. 217-226
- Print publication:
- April 2014
-
- Article
-
- You have access
- Export citation
-
We study bounded linear regularity of finite sets of closed subspaces in a Hilbert space. In particular, we construct for each natural number
$n\geq 3$ a set of 
$n$ closed subspaces of 
${\ell }^{2} $ which has the bounded linear regularity property, while the bounded linear regularity property does not hold for each one of its nonempty, proper nonsingleton subsets. We also establish a related theorem regarding the bounded regularity property in metric spaces.
