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.
Information for admitted students spring 2025
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 whether you have to reply to your offer or not.
universityadmissions.se
Checklist for admitted students
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Activate your university account
The first step in being able to register and gain access to all the university's IT services.
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Register at your department
Registration can be done in different ways. Read the instructions from your department below.
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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Your seat may be withdrawn if you do not register according to the instructions provided by your department.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 the department - courses
Here you can find information about online registration times, our learning platform, and what it means if you are conditionally admitted or placed on a reserve list.
First: Reply to your offer!
If you are offered a place or reserve place in the first notification of selection results, you must reply to it via Universityadmissions.se by 16 December to keep your place! If you have forgotten to do so you may be able to reaplpy via Universityadmissions.se (you can only do so if late application is open).
Info at Universityadmissions.se about replying to your offer
Registration in Ladok
Once you are admitted to a course you must register online via student.ladok.se to keep your place. Online registration opens 7 January, and closes at different times for different courses.
- Mathematics I (only given in Swedish): last day for registration is 15 January.
- Courses given and/or examined at KTH, so courses with the following course codes: BE7012, MM7051: last day for registration is 20 January. Register earlier if you can to get your KTH-account earlier.
- Other courses starting in January: last day for registration is 9 February.
- Other courses starting in March: last day for registration is 13 April.
You cannot register online for degree project courses in mathematics, we will register you for these when your project plan has been approved.
Learning platform
Our course pages can be found at kurser.math.su.se.
On most of the course pages you can "self enrol", but doing this does not mean that you are registered for the course! It only gives you access to the course page. You always have to register in Ladok separately, see above about registration.
Conditionally admitted
It is quite common that a student at the time of application has not finished all courses that are given as special eligibility requirements for the course or programme the student has applied for. This will result in the admission status "Conditionally admitted".
We will go through the conditions just before the courses start. As long as the condition remains you cannot register for the course in Ladok. If the condition is still in place by the time the course starts, and you haven't received any notification about whether or not you'll be allowed to take the course or programme you have applied for, contact our study advisors. If the course is one where online registration closes early, contact us before it closes.
You can also be conditionally admitted because you need to pay a tuition fee. You can find more information on tuition fees here:
Payment and repayment of tuition fee
Placed on reserve list
If you have a reserve place for a course, we may be able to offer you a spot in which case we will contact you around the start of the semester. If you have a conditional reserve place and are offered a place on the course, you also need to fulfil the condition(s) before you can take your place on the course.
More information
New student: information about admission, registration, course literature and course web
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.
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.
Read more
For new international students
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.
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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 exam and, for grades A or B, also oral exam.
Examiner
A list of examiners can be found on
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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.The course has changed codes and at time of writing the schedule is still booked in the old course code. Also, the location for the lectures will change from what is currently shown in the schedule.
You can find the schedule for the older version of the course here (but please look again at the correct schedule closer to the start of the course, so that you don't go to the wrong place):
Schedule for MM8039, the older code for Advanced Real Analysis II
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Course literature
Note that the course literature can be changed up to two months before the start of the course.
Friedman: Foundations of modern analysis. Dover.
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More information
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Contact
