Abstract and Applied Analysis
Volume 6 (2001), Issue 5, Pages 299-308
On the projection constants of some topological spaces and some applications
1Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
2Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8552, Japan
Received 13 May 2001
Copyright © 2001 Entisarat El-Shobaky et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We find a lower estimation for the projection constant of the
projective tensor product
and the injective tensor product , we apply this
estimation on some previous results, and we also introduce a new
concept of the projection constants of operators rather than that
defined for Banach spaces.