Abstract and Applied Analysis
Volume 6 (2001), Issue 5, Pages 299-308
doi:10.1155/S1085337501000598
On the projection constants of some topological spaces and some applications
Entisarat El-Shobaky1
, Sahar Mohammed Ali2
and Wataru Takahashi2
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
Abstract
We find a lower estimation for the projection constant of the projective tensor product X⊗ ∧Y and the injective tensor product X⊗ ∨Y, 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.