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Advanced Real Analysis II

This course continues on from Advanced Real Analysis I, considering both measure theory and functional analysis more in depth, and with several advanced applications.

Information for admitted students Spring 2021

Congratulations! You have been admitted at Stockholm University and we hope that you will enjoy your studies with us.

In order to ensure that your studies begin as smoothly as possible we have compiled a short checklist for the beginning of the semester.

Follow the instructions on wether you have to reply to your offer or not.
universityadmissions.se

 

Checklist for admitted students

  1. Activate your university account

    The first step in being able to register and gain access to all the university's IT services.

  2. Register at your department

    Registration can be done in different ways. Read the instructions from your department below.

  3. Read all the information on this page

    Here you will find what you need to know before your course or programme starts.

IMPORTANT

Your seat may be withdrawn if you do not register according to the instructions provided by your department.

Information from your department

On this page you will shortly find information on registration, learning platform, etc.

Welcome activities

Stockholm University organises a series of welcome activities that stretch over a few weeks at the beginning of each semester. The programme is voluntary (attendance is optional) and includes Arrival Service at the airport and an Orientation Day, see more details about these events below.
Your department may also organise activities for welcoming international students. More information will be provided by your specific department. 

su.se/welcomeactivities 


Find your way on campus

Stockholm University's main campus is in the Frescati area, north of the city centre. While most of our departments and offices are located here, there are also campus areas in other parts of the city.

Find your way on campus


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New student

During your studies

Student unions


For new international students

Pre-departure information

New in Sweden

The course covers signed measure, Hahn decomposition, measures on metric spaces, Radon-Nikodym theorem, Lebesgue decomposition, dual spaces, weak topologies, Banach-Alaoglu theorem, adjoint operators, compact operators and their spectrum, Fredholm alternative, Hilbert spaces and operators on Hilbert spaces, spectral theory of self-adjoint operators in Hilbert space, Fredholm determinant, unlimited operators.

This course is given jointly by Stockholm University and KTH, and part of the course is given at KTH. The exam, however, is given at SU. More information can be found on the course web before the start of the semester, see link below.

  • Course structure

    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 assignments and as written and oral exams.

    Examiner

    A list of examiners can be found on

    Exam information

  • Schedule

    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.

    Schedule for the part of the course that is given at Stockholm University can be found below. The part given at KTH may have a separate schedule, see the course web.

  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    Course literature Department of Mathematics

  • More information

    New student
    During your studies

    Course web

    We do not use Athena, you can find our course webpages on kurser.math.su.se.

    There may be another course web for the part of the course given at KTH. If so, this should be linked from the course web at Stockholm University found via the link above.

  • Contact