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
Faculty of Education, Shizuoka University, Ohya, Shizuoka 422, Japan
Received 17 June 1993; Revised 2 November 1993
Copyright © 1995 Takemitsu Kiyosawa. 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.
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∞.