Functional Analysis

Malabika Pramanik (University of British Columbia)

Jan 5, 2027 — Apr 27, 2027

About the course

This is an introductory course in functional analysis, involving

  1. Banach spaces
  2. Point set topology, strong, weak, and weak* topologies.
  3. Hilbert spaces.
  4. Lp spaces. (Chapter 6).
  5. Additional topics, if time permits: distributions, bounded operators and spectral theory.

Registration

This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.

Enrollment Details

Course Name
Functional Analysis
Date
Jan 5, 2027 — Apr 27, 2027
Course Number
MATH 421
Section Number
Section Code

Instructor(s)

For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website

Other Course Details

Class Schedule

  • TBA

Remote Access

Remote students will be able to interact with the instructor and with other students through several channels during the lectures.

During lectures, students will be encouraged to ask questions and participate in discussions in real time. The instructor will pause regularly to invite questions from both in-person and remote participants. Remote students may ask questions verbally through the video-conferencing platform or through the chat function, which will be monitored throughout the lecture.

In addition, problem discussions and collaborative activities will be organized in small groups that include students from different sites. These interactions will take place using breakout rooms within the video-conferencing platform, allowing remote and in-person students to work together.

Finally, students will periodically present solutions or short expositions to the class. These presentations will be delivered either from the classroom or remotely through screen sharing, ensuring that students at all locations have equal opportunities to contribute.

Availability

This course may be open to students from universities outside of the PIMS network, and those coming from industry/government.

2026-2027