Bálint Tóth:

Functional Analysis (FUN)

Fall 2011.

A course for BSM students

GENERAL COURSE DESCRIPTION

TEXTBOOK:

Michael Read, Barry Simon: Methods of Modern Mathematical Physics, vol I: Functional Analysis. Academic Press London-New York, 1982.

(we will cover chapters I, II, III, VI, VII)

DATE OF MIDTERM AND FINAL EXAMS

LOG : Here you will find regularly a brief description of what happened at the courses and the list of problems (from the textbook) assigned for home work.

TOPICS COVERED

HAND WRITTEN LECTURE NOTES (based on chapters I, II, III, VI AND VII of M. Read, B. Simon: Methods of Modern Mathematical Physics, vol I: Functional Analysis)

1. Preliminaries
2. Hilbert spaces
3. Banach spaces
4. Bounded operators
5. Bounded operators ctd.

SOLUTIONS OF PROBLEMS (from chapters I, II, III, VI AND VII of M. Read, B. Simon: Methods of Modern Mathematical Physics, vol I: Functional Analysis)

Chapter 1.
Chapter 2.
Chapter 3.
Chapters 6. & 7.

PORTRAIT GALLERY : The main actors of this course.