Editing Weak topology (section)

== History ==

Starting in the early 1900s, [[David Hilbert]] and [[Marcel Riesz]] made extensive use of weak convergence. The early pioneers of [[functional analysis]] did not elevate norm convergence above weak convergence and oftentimes viewed weak convergence as preferable.{{sfn | Narici | Beckenstein | 2011 | pp=225–273}} In 1929, [[Stefan Banach|Banach]] introduced weak convergence for normed spaces and also introduced the analogous [[weak-* topology|weak-* convergence]].{{sfn | Narici | Beckenstein | 2011 | pp=225–273}} The weak topology is called {{lang|fr|topologie faible}} in French and {{lang|de|schwache Topologie}} in German.