# 泛函分析 2010-2011春季学期 2008级数理科学

## 任课老师

Functional Analysis

(1) knowledge on metric spaces, linear normed spaces (and Banach spaces), inner product spaces(and Hilbert spaces),
(2) theory of linear operators/functionals defined on these spaces,
(3) Hahn-Banach theorem, closed grahy theorem, and uniform boundedness theorem (resonnance theorem of operators)
(4) elementary spectral theory of linear operators (such as definitions, classifications, and spectrum of
compact operators).

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