"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science
| Functional analysis |
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| Teaching Staff in Charge |
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| Aims |
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Presentation of the fundamental notions and results of functional analysis. |
| Content |
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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 |
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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 |
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A mid-term written examination and an end-term viva voce examination. |