Math 511
Problems, Solutions, Handouts
Instructor
Joel Feldman
E-mail
feldman@math.ubc.ca
Office
Math 221
Phone
604-822-5660
Home page
http://www.math.ubc.ca/~feldman/
Office hours
Mon 14:30-15:30, Tues 10:30-11:30, Thr 10:00-11:00
Location of lectures
MATX 1102
Time of lectures
Tues, Thurs 14:00-15:20
Course Outline [
html
,
pdf
]
Notes
Review of Measure Theory and Integration
Review of Measure Theory [
pdf
]
Review of Measurable Functions [
pdf
]
Review of Integration [
pdf
]
Review of Signed Measures and the Radon-Nikodym Theorem [
pdf
]
Completion [
pdf
]
The Hahn--Banach Theorem and Friends [
pdf
]
The Principle of Uniform Boundedness and Friends [
pdf
]
Review of Hilbert and Banach Spaces [
pdf
]
Operator Topologies [
pdf
]
Tempered Distributions and the Fourier Transform [
pdf
]
Analytic Banach Space Valued Functions [
notes
,
problem solutions
]
Compact Operators [
pdf
]
Families of Commuting Normal Matrices [
pdf
]
Another Riesz Representation Theorem [
pdf
]
Review of Spectral Theory [
pdf
]
The Spectral Theorem for Commuting, Bounded, Normal Operators [
pdf
]
Spectral Theory Examples [
pdf
]
Review of Unbounded Operators [
pdf
]
The Cayley Transform and Self-adjoint Extensions [
pdf
]
The Spectrum of Periodic Schrödinger Operators [
pdf
]
Lattices and Periodic Functions [
pdf
]
An Elliptic Function - The Weierstrass Function [
pdf
]
Links
MacTutor History of Mathematics archive