Article contents
The average distance property of classical Banach spaces II
Published online by Cambridge University Press: 17 April 2009
Abstract
A Banach space X has the average distance property if there exists a unique real number r such that for each positive integer n and all x1,…,xn in the unit sphere of X there is some x in the unit sphere of X such that
We show that lp does not have the average distance property if p > 2. This completes the study of the average distance property for lp spaces.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2002
References
- 1
- Cited by