Banach spaces. Geometric forms of the Hahn–Banach theorem. Separation of convex sets. Definition and basic properties of the weak topology σ (E, E). The weak topology σ (E, E). Reflexive spaces. Uniformly convex spaces. Definition and basic properties of compact operators. The Riesz–Fredholm theory. Spectrum of a compact operator. Spectral analysis of compact operators. Unbounded operators in Banach spaces and applications. Sobolev spaces (in R) and applications to boundary value problems.
- Teacher: Γεώργιος Σμυρλής
ECTS : 5
Language : el