Completion of Vector Metric Spaces

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Gazi University Journal of Science
Volume:28 Issue:1
Completion of Vector Metric Spaces

Completion of Vector Metric Spaces

Authors : Cüneyt ÇEVİK

Pages : 69-73

View : 22 | Download : 16

Publication Date : 2015-02-23

Article Type : Research Paper

Abstract :In this study a completion theorem for vector metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by order convergence via the module of the Riesz space E .
Keywords : Vector metric space, order Cauchy sequence, order Cauchy completion, Riesz space, Banach lattice

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