Open Access
December 2007 On maximal $t-$orthogonal sequences in c0
Albert Kubzdela
Bull. Belg. Math. Soc. Simon Stevin 14(5): 961-968 (December 2007). DOI: 10.36045/bbms/1197908906

Abstract

Let $K$ be a non-Archimedean, complete, densely valued field. For a given $t\in (0,1)$ we study a maximality of $t-$orthogonal sequences in $c_{0}$ over $K.$ In particular we prove that for every $t\in (0,1)$ there exists a maximal $t-$orthogonal sequence in $c_{0}$ which is not a base.

Citation

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Albert Kubzdela. "On maximal $t-$orthogonal sequences in c0." Bull. Belg. Math. Soc. Simon Stevin 14 (5) 961 - 968, December 2007. https://doi.org/10.36045/bbms/1197908906

Information

Published: December 2007
First available in Project Euclid: 17 December 2007

zbMATH: 1134.46049
MathSciNet: MR2379000
Digital Object Identifier: 10.36045/bbms/1197908906

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 5 • December 2007
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