Vinicius Coelho, Joilson Ribeiro, Luciana Salgado
Published 2018-06-20Version 1
In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pe\l{}czy\'nski for normed spaces. Given these results, it can be shown that in infinite dimension spaces (not necessarily complete) there is an infinite-dimension subspaces with an essential Schauder basis.
A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces
Orthogonality in normed spaces
Angles and a Classification of Normed Spaces
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