Одељење за математику, 10. јун 2019.
- 10. Јун, 2019
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Наредни састанак Семинара биће одржан у понедељак, 10. јуна 2019. у сали 301ф Математичког института САНУ са почетком у 16:15.
Предавач: Vladimir Manuilov, Moscow State University
Наслов предавања: HILBERT C*-MODULES: OPERATORS AND BILINEAR FORMS
Апстракт: We survey the theory of Hilbert C*-modules with the emphasis on self-duality and reflexivity. In the special case of Hilbert C*-modules over W*-algebras we address the problem of complementability of submodules and show it fails in a very strong sense: there exist non-complementable submodules coinciding with their second orthogonal complement. We also consider sesquilinear forms on Hilbert C*-modules and prove a version of the Lax-Milgram theorem: given Hilbert C*-modules X, Y over a W*-algebra A, a form B : X x Y -> A satisfying certain conditions, and a `functional` t : Y -> A, there exists x in X such that B(x,y)=t(y).
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