Naslov
Pre-Hilbert modules, normed modules and the parallelogram law

Autori
Ilišević, Dijana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Hilbert C*-Modules Online Weekend

Mjesto i datum
Moskva, Ruska Federacija; online, 05.12.2020. - 06.12.2020

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hilbert module ; normed module ; parallelogram law

Sažetak
The concept of pre-Hilbert C*-module generalizes the concept of pre-Hilbert (inner product) space. A normed C*-module can be analogously introduced as a generalization of a normed space (by equipping a module over a C*-algebra with a map that obeys the same axioms as the vector space norm but with values in a C*-algebra). The aim of this talk is to show that the parallelogram law holds in every normed module over a C*-algebra A without nonzero commutative closed two-sided ideals and that this implies that the class of normed A-modules coincides with the class of pre- Hilbert A-modules.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA