2007-2008, Term 2 (Winter)
MA3G8 - Functional Analysis II
SESSION*** Tuesday 20 May,
11:00 - 12:30,
Room B1.01 (Zeeman building)
Questions can be
emailed in advance, in order to get clearer answers!
Here is the official
site from the department.
Time and place: Thu 1-2
in MS.04; Fri 2-4 in
MS.05. Supervision Tue 10-11 in B3.01, by Patrick O'Callaghan.
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.
Here is the table of contents.
Gareth Speight pointed
out an omission in Theorem 3.5 (Uniform
boundedness). We suppose in addition that all operators T_n
E. Kreyszig, Introductory Functional
Analysis with Applications, Wiley, 1989.
W. Rudin, Functional
Analysis, McGraw-Hill, 1973.
G.B. Folland, Real
Analysis, Wiley, 1999.
J.K Hunter and B.
Nachtergaele, Applied Analysis, World Scientific, 2001.
- Also, Clement Tsang's
Note on nowhere dense sets