Complemented subspaces of p-adic second dual Banach spaces

Complemented subspaces of p-adic second dual Banach spaces

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 subs...

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Bibliographic Details
Main Author: Takemitsu Kiyosawa
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
non-archimedean valued fields
non-archimedean (p-adic) Banach spaces
polar spaces
spherically complete
complemented subspaces.
Online Access:http://dx.doi.org/10.1155/S0161171295000548
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Summary: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∞.
ISSN:0161-1712
1687-0425

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