Separability of Real Normed Spaces and Its Basic Properties

In this article, the separability of real normed spaces and its properties are mainly formalized. In the first section, it is proved that a real normed subspace is separable if it is generated by a countable subset. We used here the fact that the rational numbers form a dense subset of the real numb...

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Bibliographic Details
Main Authors: Nakasho Kazuhisa, Endou Noboru
Format: Article
Language:English
Published: Sciendo 2015-03-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.2478/forma-2015-0005