TATM85	Functional Analysis, 6 ECTS-points /Funktionalanalys/ Advancement level: D
	Aim: To give familiarity with the fundamental concepts of functional analysis and to prepare the student for further studies in mathematics and related areas. Prerequisites: TATM 18, Linear Algebra I; TATM 06, Calculus Y. TATM 20, Calculus Honours Course, is a good preparation, but is not a prerequisite. Course organization: Teaching is done in seminars. Course content: Elementary metric space theory. Normed linear spaces, Banach spaces, Hilbert spaces. Linear functionals, dual spaces. Linear operators. Aspects of the Lebesgue integral. Integral equations. Course literature: Kreysig, E: Introductory Functional Analysis with Applications. John Wiley & Sons, Inc. 1978. Claesson, T, Hörmander, L: Integrationsteori. Lund University. Collection of problems published by the Institute.
TEN1	Written examination, 4 p.

Course language is Swedish.