Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MMA0007	Functional Analysis	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics	5	2+2+0	speciality	compulsory	

Teaching Staff in Charge	Prof. BRECKNER Wolfgang, Ph.D., breckner@math.ubbcluj.ro
Lect. BRECKNER Brigitte Erika, Ph.D., brigitte@math.ubbcluj.ro
Assoc.Prof. SÁNDOR Jozsef, Ph.D., jsandor@math.ubbcluj.ro	
Aims	Presentation of the fundamental notions and results of functional analysis.	
Content	1. Sublinear functions and seminorms.
2. Hahn-Banach theorem
3. Vector topological spaces, normed spaces, Hilbert spaces
4. Linear operators between normed spaces
5. Linear functionals	
Bibliography	1. HEUSER H.: Funktionalanalysis. Theorie und Anwendung. 3. Auflage. B. G. Teubner, Stuttgart, 1992
2. KANTOROVICI L.V., AKILOV G. P.: Analiza functionala. Editura Stiintifica si Enciclopedica, Bucuresti, 1986
3. MATHIEU M.: Funktionalanalysis. Ein Arbeitsbuch. Spektrum Akademischer Verlag, Heidelberg - Berlin, 1998
4. MUNTEAN I.: Analiza functionala. Universitatea "Babes-Bolyai", Cluj-Napoca, 1993
5. POPA E.: Culegere de probleme de analiza functionala. Editura Didactica si Pedagogica, Bucuresti, 1981
6. RIESZ F., SZOKEFALVI-NAGY B.: Funkcionalanlizis, Tankonyvkiado, Budapest, 1988
7. WERNER D.: Funktionalanalysis. Springer-Verlag, Berlin - Heidelberg - New York, 1995	
Assessment	A mid-term written examination and an end-term viva voce examination.