This course will introduce the basic ideas of functional analysis -- the study of linear operators between Banach spaces. There will also be some further results in measure theory.
Summary notes for the course are available, they are a little dated now. Assessment will be by two assignments during the semester and one at the end, together with an "essay" on a topic of individual choice relevant to the course material. Here is a short list of some possible topics. Further details are given in the handout, which also gives a list of reference books. In particular you should note the proposed method of assessing the essay. The handout has been updated to reflect actual assessment arrrangements, except that November 6 should be November 7 because of the new public holiday.
My office hours are 11-1 on Thursday. By the timetable sheet these times are free for everyone in the class. The 11-12 slot is shared with a fortnightly PhD seminar, the 12-1 slot is MATH3325 only. Note that my office door is always open when I am in.Lecture Notes will be available shortly after each lecture.
Functional Analysis:Lecture 1, Lecture 2 (corrected), Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8 (with addendum), Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13, Lecture 14, Lecture 15, Lecture 16, Lecture 17, Lecture 18, Lecture 19, Lecture 20, Lecture 21, Lecture 22, Lecture 23, Lecture 24, Lecture 25, Lecture 26, Lecture 27.
Measure Theory:(lectures1 and 2 have been retypeset)Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7.
Exercises 1 and solutions can be downloaded here.
Assignment 1 with solutions can be downloaded here.
Assignment 2 with solutions can be downloaded here.
Your corrected second assignments are available from Kelly.
You may contact me by email here.
Last modified: October, 2007