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In [[mathematics]], particularly [[functional analysis]], spaces of [[linear map]]s between two [[vector space]]s can be endowed with a variety of [[Topology (structure)|topologies]]. Studying space of linear maps and these topologies can give insight into the spaces themselves.
The article [[operator topologies]] discusses topologies on spaces of linear maps between [[normed space]]s, whereas this article discusses topologies on such spaces in the more general setting of [[topological vector space|topoㄹㅇㅀㅇㅀㅇㅀlogical vector space]]s (TVSs).
==Topologies of uniform convergence on arbitrary spaces of maps==
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