Mathematische Gesellschaft

Donnerstag, 09.06.2016


Sergei Ludkowsi, Moskau

Calculus of bounded operators with local spectra


Abstract:

Bounded operators on Banach spaces are considered over local fields supplied with non-archimedean multiplicative norms so that their spectra are contained in manifolds over local fields. Their calculus is developed with the help of line antiderivations. Algebras of functions of operators are studied.