Spring 2026
MATH 278 001 - LEC 001
Topics in Analysis
Dan-Virgil Voiculescu
Class #:26029
Units: 4
Instruction Mode:
In-Person Instruction
Offered through
Mathematics
Current Enrollment
Total Open Seats:
14
Enrolled: 1
Waitlisted: 0
Capacity: 15
Waitlist Max: 5
No Reserved Seats
Hours & Workload
9 hours of outside work hours per week, and 3 hours of instructor presentation of course materials per week.
Other classes by Dan-Virgil Voiculescu
Course Catalog Description
Advanced topics chosen by the instructor. The content of this course changes, as in the case of seminars.
Class Description
The subject of this class will be perturbations of Hilbert space operators from a viewpoint involving algebras of operators. Underlying the multivariable generalizations of the classical Kato - Rosenblum and Weyl - von Neumann - Kuroda theorems is a numerical invariant, the quasicentral modulus. Time permitting, I may expand into related topics, the relation of Kolmogorov - Sinai dynamical entropy to this invariant or the recent noncommutative analogy of the invariant to nonlinear potential theory quantities.
Class Notes
Prerequisites
The spectral theorem for bounded selfadjoint operators.
The spectral theorem for bounded selfadjoint operators.
Rules & Requirements
Repeat Rules
Reserved Seats
Reserved Seating For This Term
Current Enrollment
No Reserved Seats
Textbooks & Materials
See class syllabus or https://calstudentstore.berkeley.edu/textbooks for the most current information.
Guide to Open, Free, & Affordable Course Materials
Associated Sections
None