Mathematics | Functional Analysis I
M611 | ALL | Tba
M611-M612 Functional Analysis I-II (3-3 cr.) Fundamentals of the
theory of vector spaces; Banach spaces; Hilbert space. Linear
functionals and operators in such spaces, spectral resolution of
operators. Functional equations: applications to fields of analysis,
such as integration and measure, integral equations, ordinary and
partial differential equations, ergodic theory. Nonlinear problems.
Schauder-Leray fixed-point theorem and its applications to
fundamental existence theorems of analysis.