MATH 255A

Functional 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).

Requisites

Official UCLA wording
Requisites: courses 245A and 245B, or 265A and 265B, and 246A.

BruinTree reads · Prerequisite

needs reviewconfidence 0.75 · from text

one of

· mixed comma-level AND/OR in "courses 245A and 245B, or 265A and 265B, and 246A" — grouping is a best reading

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 131AAnalysisanother path to it
- MATH 131AAnalysisanother path to it
- MATH 131BAnalysisanother path to it

What this course is a requisite for, and what those courses lead to in turn.

MATH 255A

MATH 255BTopics in Functional Analysis
- MATH 259AOperator Algebras in Hilbert Spaceanother path to it
- MATH 259BOperator Algebras in Hilbert Spaceanother path to it
MATH 255CTopics in Functional Analysis
- MATH 259AOperator Algebras in Hilbert Space