On The Closed Graph Theorem
1956; Cambridge University Press; Volume: 3; Issue: 1 Linguagem: Inglês
10.1017/s2040618500033372
ISSN2051-2104
AutoresAlex. P. Robertson, Wendy Robertson,
Tópico(s)Advanced Banach Space Theory
ResumoThe closed graph theorem is one of the deeper results in the theory of Banach spaces and one of the richest in its applications to functional analysis. This note contains an extension of the theorem to certain classes of topological vector spaces. For the most part, we use the terminology and notation of N. Bourbaki [1], contracting “locally convex topological vector space over the real or complex field” to “convex space”; here we confine ourselves to convex spaces.
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