MAA 5932-01 Functional Analysis and Spectral Theory

Welcome to Infinite Dimensions!

Meets MWF 2:30-3:20 104 LOV

Prerequisite: Advanced Calculus or Permission of the instructor. Here is the class syllabus.

The problems

Our on-line gradebook

Bellenots office hours in 223 LOV: MW3:30-4:30, W1:30-2:20 or by appointment.

Here is the web page from my last graduate class in Functional Analysis..

• The Glossary
• The Fourier Transform handout from PDE
• Required (Highly Recommended) Textbooks
  • Jordan, Linear Operators for Quantum Mechanics Only $9.56 at Amazon; This will be the primary source; note that it is from a Physics viewpoint.
  • Helmberg, Introduction to Spectral Theory in Hilbert Space Only $17.12 at Amazon
• Halmos books, not required, but they are so good they are back in print.
  • Halmos, A Hilbert Space Problem Book Not so cheap $70 list.
  • Halmos, Finite-Dimensional Vector Spaces List $60, but it actually is more general than just finite dimensions as Halmos often uses a proof that generizes to infinite dimensions.
  • Halmos' Intro to Hilbert spaces $22 List, $20 if you are a member of AMS.
• Old Texts used in Fall 05, we will use a different books
  • Kolmogorov and Fomin, Functional Analysis, Vol1 Metric and Normed Spaces or it is the first half of this book
  • Griffel, Applied Functional Analysis or from amazon

• The class ad
• Why study Functional Analysis