Here is the official site from the department.

Time and place: Thursday 1-2pm and Friday 11am-1pm in MS.04. Supervisions Monday 2-3pm in B3.01 by David Bate and Tuesday 10-11 in B1.01 by Janosch Ortmann.

Assessment: 3-hour examination (WS1.01 in Westwood Science, 2-5pm).

Description:
Many problems in Mathematics lead to linear problems in infinite-dimensional spaces. In this course we shall mainly study infinite-dimensional normed linear spaces and continuous linear transformations between such spaces. We will study Banach spaces and prove the main theorems of this subject (Hahn-Banach, open mapping, uniform boundedness). The last part of the course will be devoted to bounded and unbounded operators, with specific mention of differential operators in L2 spaces.

I occasionally put comments on my facebook page; but anything of importance can also be found here.

Assignments:

assignment 1
(17.01.11)

assignment 2
(24.01.11)

assignment 3
(31.01.11)

assignment 4
(07.02.11)

assignment 5
(14.02.11)
assignment 6
(21.02.11)
assignment 7
(28.02.11)
assignment 8
(07.03.11)
assignment 9
(14.03.11)

References:

  • E. Kreyszig, Introductory Functional Analysis with Applications, Wiley, 1989.

  • W. Rudin, Functional Analysis, McGraw-Hill, 1973.

  • G.B. Folland, Real Analysis, Wiley, 1999.

  • E.H. Lieb and M. Loss, Analysis, AMS, 2001.

  • J.K. Hunter and B. Nachtergaele, Applied Analysis, World Scientific, 2001. (This book is available online.)

  • M. Reed and B. Simon, Functional Analysis (Methods of Modern Mathematical Physics I), Elsevier, 1980.