MATH 241A. Functional Analysis I (4 units)
Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math241a
Description
First course in graduate functional analysis. Locally convex spaces, weak topologies. Convexity and fixed point theorems. Banach algebras and C*-algebras. Operators on Hilbert spaces (bounded, unbounded, compact, normal). Spectral theory of operators, semigroups of operators. Fredholm theory. Prerequisites: MATH 240C. Students who have not completed MATH 240C may enroll with consent of instructor.
Prerequisite courses
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Successor courses
MATH 241A is a prerequisite of the following 1 courses: