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Functional Analysis [MA3001]

Wintersemester 2019/20

Prof. Dr. Robert Koenig

Dozent: Prof. Dr. Robert Koenig
Übungsleitung: Margret Heinze
Mitwirkende: Markus Hasenoehrl, Alexander Kliesch, Frederik vom Ende
Vorlesung: Tuesday, 14:00 - 16:00, PH HS 2, and
Friday, 14:00 - 16:00 Rudolf-Mößbauer-HS
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Tutorübungen: Mon 8:30-10:00, 02.08.011 (Hasenoehrl)
Mon 12:15-13:45, 02.08.011 (Heinze)
Mon 16:15- 17:45, 00.09.022 (Kliesch)
Tue 8:30-10:00, 03.08.011 (vom Ende)
Tue 10:15-11:45, BC2 0.01.04 in Hochbrueck (Heinze)
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Content (from Module description)

Banach and Hilbert spaces; bounded linear operators, open mapping theorem; spectral theory for compact selfadjoint operators; duality, Hahn-Banach theorems; weak and weak* convergence; brief introduction to unbounded operators

Second Exam (Nachprüfung)

  1. ) writing the exam at home/a location of your choosing under virtual video supervision or
  2. ) writing the exam under supervision at the department of mathematics.

Exam

Exercises

Grading/Bonus system

Exercise Sheet Week Date for homework submission Solution
Ex01 Oct. 21 - Oct. 25 Oct. 25 Sol01
Ex02 Oct. 28 - Nov. 1 Nov. 1 Sol02
Ex03 Nov. 4 - Nov. 8 Nov. 8 Sol03
Ex04 Nov. 11 - Nov. 15 Nov. 15 Sol04
Ex05 Nov. 18 - Nov. 22 Nov. 22 Sol05
Ex06 Nov. 25 - Nov. 29 Nov. 29 Sol06
Ex07 Dec. 2 - Dec. 6 Dec. 6 Sol07
Ex08 Dec. 9 - Dec. 13 Dec. 13 Sol08
Ex09 Dec. 16 - Dec. 20 Dec. 20 Sol09
Ex10 Dec. 23 - Jan. 10 Jan. 10 Sol10
Ex11 Jan. 13 - Jan. 17 Jan. 17 Sol11
Mock exam   no submission Mock Sol
Ex12 Jan. 27 - Jan. 31 Jan. 31 Sol12
Ex13 Feb. 3 - Feb. 7 Feb. 7 Sol13

Literature

There are many good books and lecture notes. Here are some of them. Apart from Bollobas and Brokate they go considerably beyond what we can do in one semester.

Lecture Notes

Lecture notes will be provided here: current version (updated on Feb 18: last sentence of Def. 1.4.6. (product topology) corrected). Any corrections/suggestions are welcome.

* Clarification about Remark 7.1.15.

Additional materials/slides Date updated
Metric and Topological spaces Oct 18
Posets and Nets Nov 5
Geometric Hahn-Banach Theorems Dec 6