International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 437-442
doi:10.1155/S0161171295000548

Complemented subspaces of p-adic second dual Banach spaces

Abstract

Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space BC((c0)1) has an orthocomplemented subspace linearly homeomorphic to l∞.