Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT
| MMA0007 | Functional Analysis |
| Teaching Staff in Charge |
Prof. BRECKNER Wolfgang, Ph.D., breckner math.ubbcluj.roLect. BRECKNER Brigitte Erika, Ph.D., brigitte math.ubbcluj.roAssoc.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 |
| References |
|
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. |
| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |