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Syllabus for

Academic year
TMA401 - Functional analysis
 
Owner: TM
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: C
Department: 11 - MATHEMATICAL SCIENCES


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0101 Examination 5,0 c Grading: TH   5,0 c   01 Jun 2007 am M,  18 Jan 2007 am M,  01 Sep 2007 am V

In programs

CEMAS MSc PROGRAMME IN COMPUTATIONAL AND EXPERIMENTAL TURBULENCE, Year 1 (elective)
TTFYA ENGINEERING PHYSICS, Year 4 (elective)
TM Teknisk matematik, Year 2 (elective)
EMMAS MSc PROGR IN ENGINEERING MATHEMATICS, Year 1 (elective)

Examiner:

Univ lektor  Peter Kumlin



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Content

Normed Spaces. Banach and Hilbert Spaces. Basics facts on Lebesgue Integrals. Contractions. Fixed Point Theorems.
Compactness. Operators on Hilbert Spaces. Spectral Theory for
Compact Self Adjoint Operators. Fredholm's Alternative. Applications to Integral and Differential Equations. Optimization Problems.

Organisation

See the course homepage.

Literature

L.Debnath/P.Mikusinski: Introduction to HilbertSpaces with
Applications, 2nd ed, Academic Press 1999.
P.Kumlin: Lecture Notes 2004 (see the course homepage)

Examination

Written exam.


Page manager Published: Thu 03 Nov 2022.