MATH 6320
REAL ANALYSIS 2
Spring 2024
I will post all the slides on Canvas. I won't check attendance, but for your own benefit, you are strongly encouraged to attend the lectures. :)
Instructor: Dr. Janos Englander
Math 324, Phone: 2-4846
E-mail: firstname.lastname@colorado.edu
Office hours: Thursdays 5-7 on Zoom
Class: at MATH 220
Zoom Address: https://cuboulder.zoom.us/j/98322037216
Meeting ID: 983 2203 7216
Text: : Royden-Fitzpatrick
(4th edition).
There is a new printing!
The third printing of the 4th edition (2014) has much fewer typos than previously...
Course Covers:
general metric spaces (besides what you already had in 6310)
abstract Lebesgue measure, L^p spaces; L^2 theory, (we most probably won't have time for Fourier analysis)
operators on Hilbert spaces.
Prerequisites: MATH 6310. Instructor consent required for undergraduates.
Grading: Based on two, in class MT's and a take-home final. (With weights 30-30% and 40%, respectively.)
EXAMS: MT1: Monday, 3/4/2024 in class, MT2: Wednesday, 4/17/2024 in class, Final: It will be a take home final and you will receive the questions after the last class.
HW sets (numbers refer to textbook): TBA on Canvas
I will post the solutions to the homework, but they will not be graded. However, the two midterms will be HW based. That is, I will give problems that are very similar (or perhaps identical) to the HW questions up that point. So it is your own interest to solve the HW problems and even remember the solutions. The problems in the final will be more independently chosen.
FURTHER READING:
P. D. Lax: Functional Analyisis, Wiley
Riesz-Szokefalvi-Nagy: Functional Analyisis, Courier Corporation
K. Yosida: Functional Analysis, Springer
W. Rudin: Real and Complex Analysis (International Series in Pure and Applied Mathematics)
Reed-Simon: Methods of Modern Mathematical Physics, I-IV, Ac. Press
J. Oxtoby: Measure and Category: A Survey of the Analogies between Topological and Measure Spaces (Graduate Texts in Mathematics)
A Hilbert Space Problem Book (Graduate Texts in Mathematics) 2nd rev. and enlarged ed. 1982 Edition, by P.R. Halmos
CU POLICIES including Covid regulations.