On The Completion of Hausdorff Topological Vector Spaces Using Nets
Year: 2024
Type: article
Abstract: This paper contains a direct proof of the result asserting that every Hausdorff topological vector space has a completion. The proof here is different from known proofs of this result, since it uses only the convergence of nets and their basic properties. The completion is constructed as equivalence classes of Cauchy sequences
Source: مجلة البحوث الأكاديمية
Author: Adel Bashir Badi
Institution: Misurata University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7128971981