SUBJECT

Title

Unbounded operators of Hilbert spaces

Type of instruction

lecture

Level

master

Part of degree program
Credits

3

Recommended in

Semesters 1-4

Typically offered in

Autumn/Spring semester

Course description

Neumann’s theory of closed Hilbert space operators: existence of the second adjoint and the product of the first two adjoints as a positive selfadjoint operator. Up to date theory of positive selfadjoint extensions of not necessarily densely defined operators on Hilbert space: Krein’s theory revisited. Extremal extensions are characterized including Friedrichs and Krein-von Neumann extensions. Description of a general positive selfadjoint extension.

Readings

none