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-Shobaky,1 Sahar Mohammed Ali,2 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
Received 13 May 2001

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.