MATH 255AFunctional Analysis
Mathematics · 4 units · Graduate courses (200-299)
Banach spaces, basic principles. Weak topologies. Compact operators. Fredholm operators. Special spaces including Hilbert spaces and C(X).
When it runs
- Fall 2025
- Spring 2027
Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.
Requisites
Official UCLA wording
Requisites: courses 245A and 245B, or 265A and 265B, and 246A.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
MATH 255A
- MATH 245AReal Analysis
- MATH 121Introduction to Topology
- MATH 245BReal Analysis
- MATH 246AComplex Analysis
- MATH 265AReal Analysis for Applications
- MATH 265BReal Analysis for Applications
5 direct requisites. Showing 23 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 255A
- MATH 255BTopics in Functional Analysis
- MATH 255CTopics in Functional Analysis
- MATH 256ATopological Groups and Their Representations
- MATH 256BTopological Groups and Their Representations
- MATH 259AOperator Algebras in Hilbert Space
- MATH 259BOperator Algebras in Hilbert Space
- MATH 268CTopics in Applied Functional Analysis
7 courses list this as a requisite. The whole downstream is here — 11 courses over 2 levels. Every course here opens its own tree.