Видеотека: Qingxiang Xu, On the orthogonal complementarity of closed submodules of Hilbert $C^*$-modules

ВИДЕОТЕКА


International Workshop "Hilbert $C^$-Modules Online Weekend" in memory of William L. Paschke (1946–2019)* 5 декабря 2020 г. 08:10, г. Москва, МГУ им. М. В. Ломоносова

On the orthogonal complementarity of closed submodules of Hilbert $C^$-modules Qingxiang Xu Shanghai Normal University*
Аннотация: It is known that a closed submodule of a Hilbert $C^$-module may fail to be orthogonally complemented. Due to this weakness, some new phenomena may happen compared with that in Hilbert spaces. In the framework of adjointable operators on Hilbert $C^$-modules, I will report some recent progress on the generalized Douglas theorem, the generalized parallel sum, the generalized Halmos' two projections theorem. Some applications will also be presented. Язык доклада: английский