PMath 753, Fall 2012
Instructor:
Nico Spronk
Class Time and Place: 09:30-10:20 MWF MC 4061.
Required text: Linear Analysis 2nd edition, by Bela
Bollobas, 1999 Cambridge Univ. Press, Cambridge.
Supplementary text(s): A Course in Functional Analysis
by John B. Conway, Graduate Texts in Math. 96, 1985 Springer, New York.
Analysis Now by Gert K. Pedersen, Graduate Texts in Math. 118, 1989 Springer, New York.
Office hours: Will host in accordance with assignment due dates.
Information sheet (.pdf)
Syllabus (.pdf)
Axiom of Choice et al. For a different perspective, R. Moosa has kindly allowed me
to link his
set theory and model theory lecture notes.
A non-Baire-Category proof of
Banach-Steinhaus Theorem. An even slicker non-Baire
proof
(indicated to me by C. Zwarich).
Ultrafilters and Tychonoff's Theorem.
Compactness of adjoint operators via Arzela-Ascoli Theorem.
Homework assignments:
Assignment #1
Assignment #2
Cardinal arithmetic
primer
Assignment #3
Assignment #4
Assignment #5
Student Lectures: Tues., Dec. 4, 9:30am-noon, in MC5136B;
Wed., Dec. 5, 9:30am-noon, in MC5046.
Final Exam: Wednesday, December 12, 12:30-3:00pm in MC 4040.
The
list of questions .
Office hours: Mon., Dec. 10, 3-5pm, Tues., Dec. 11, 3-5pm.