Advanced Real Analysis II
This course is a continuation of Advanced real Analysis I, where in the measure theory part the structure of measures is studied and in the functional analysis part more specific operators are investigated.
Contents in more detail: Complex measures, Radon-Nikodym theorem, dual spaces, weak topologies, adjoint operators, operators on Hilbert spaces, spectral theory of compact operators and bounded operators in Hilbert spaces.
The course consists of one element.
Teaching Format
Instruction is given in the form of lectures and exercises.
Assessment
The course is assessed through written exam and, for grades A or B, also oral exam.
Examiner
A list of examiners can be found on
The schedule will be available no later than one month before the start of the course.
We do not recommend print-outs as changes can occur. At the start of the course,
your department will advise where you can find your schedule during the course.
Note that the course literature can be changed up to two months before the start of the course.
Friedman: Foundations of modern analysis. Dover.
Course reports are displayed for the three most recent course instances.
