Banach chaw txhais
Muaj ob qho sib txuam ntawm qhov chaw Banach:" qhov chaw Banach tiag tiag" thiab" complex Banach chaw", uas hais txog cov lus txhais ntawm qhov chaw vector ntawm Banach qhov chaw ntawm qhov sau suav nrog tus lej tiag lossis ntau.
Ntau qhov chaw tsis muaj qhov kawg ntawm kev ua haujlwm kawm paub hauv kev soj ntsuam kev ua lej yog Banach cov chaw, suav nrog cov chaw sib txuas ntawm cov haujlwm txuas ntxiv (cov haujlwm txuas ntxiv ntawm qhov chaw ntawm Heusdorff), thiab Lp qhov chaw muaj li ntawm Lebesgue muaj nuj nqi thiab Hardy chaw tsim ntawm holomorphic zog. Cov chaw saum toj saud yog hom ntau dhau los ntawm topological vector chaw, thiab cov topologies ntawm cov chaw no txhua tus los ntawm lawv cov cai.
Qhov chaw Banach muaj npe tom qab tus kws lij choj Polish Stefan Banach, uas tau thov qhov chaw no thaum xyoo 1920-1922 nrog Hans Hahn thiab Edward Heli.