Time and Location:

• The lectures take place on Mondays and Wednesdays from 2:00pm to 3:15pm in 24-112.

• The first lecture will be on September 4, 2016.

Contact Information:

• Office: 27-314.

• E-mail: ponge [dot] snu [at] gmail [dot] com.

Evaluation:

• Evaluation will be based on homework. There will be about 6 homework assignments throughout the semester.

• Students who have missed too many classes and have not turned in all their homework assignments will get an F-grade.

Course Outline:

1. Spectral theory and Banach algebra.

2. Operators on Hilbert space.

3. Compact operators and Fredholm theory.

4. Unbounded operators on Hilbert space.

References:

• Main References:

  • Arveson, W.: A Short Course on Spectral Theory. Graduate Texts in Mathematics, Springer, 2002 (link)

  • Reed, M.; Simon, B.: Functional Analysis (Methods of Modern Mathematical Physics, Vol. 1). Academic Press, 1980.

• Supplementary Reference:

  • Conway, J.: A Course in Functional Analysis. Graduate Texts in Mathematics, Springer, 2nd Edition, 1994 (link).