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More generally, functional analysis includes the study of [[Fréchet space]]s and other [[topological vector space]]s not endowed with a norm.{{cn}}
An important object of study in functional analysis are the [[continuous function (topology)|continuous]] [[linear transformation|linear operators]] defined on Banach and Hilbert spaces. These lead naturally to the definition of [[C*-algebra]]s and other [[operator algebra]]s.{{cn}}
===Hilbert spaces===
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