After successful completion of the course, students are able to define Banach algebras, recognize them as such and work with them, to formulate, apply and prove the spectral theorem for normal and unlimited self-adjoint operators, to define semi-groups of operators and recognize them as such and to formulate, apply and prove the Hille–Yosida theorem.

Banach Algebras, Spectral theory of linear operators, spectral resolution for normal and unbounded selfadjoint operators,  semi-groups of operators, Hill-Yoshida theorem, selected topics.

Classical lecture on the black board

Oral Exam

Lecture notes will be provided during the course.

Content of Functional analysis 1