401-3461-00L  Functional Analysis I

SemesterHerbstsemester 2015
DozierendeD. A. Salamon
Periodizitätjährlich wiederkehrende Veranstaltung
LehrspracheEnglisch


KurzbeschreibungBaire category; Banach and Hilbert spaces, bounded linear operators; Three Fundamental Principles: Uniform Boundedness, Open Mapping/Closed Graph, Hahn-Banach; Convexity; Dual Spaces: weak and weak* topologies, Banach-Alaoglu, reflexive spaces; Ergodic Theorem; compact operators and Fredholm theory, Closed Image Theorem; Spectral theory, self-adjoint operators.
Lernziel
SkriptLecture Notes on "Functional Analysis" by D.A. Salamon