Abstract
Closed graph theorems give sufficient conditions to guarantee that a linear mapping with a closed graph is continuous. Time has established this result as one of the fundamental principles of functional analysis. The first version was due to Banach [Ba32] and took place in the setting of Frechet spaces. This theorem proved to be so useful that great efforts were made over the next decades to increase its scope: to enlarge the classes of spaces which could act as domain spaces and codomain spaces for a closed graph theorem.
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