TL;DR
This paper presents a new perspective on classical theorems in functional analysis, specifically the closed graph and open mapping theorems, within the context of separated barrelled and fully complete spaces.
Contribution
It introduces a novel approach to understanding these theorems for specific classes of topological vector spaces.
Findings
New perspective on classical theorems
Applicable to separated barrelled and fully complete spaces
Potential implications for functional analysis
Abstract
We offer a new perspective on the closed graph theorem and the open mapping theorem for separated barrelled spaces and fully complete spaces.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Fuzzy and Soft Set Theory · Homotopy and Cohomology in Algebraic Topology