Konvexní obálky množin
| Thesis title in Czech: | Konvexní obálky množin |
|---|---|
| Thesis title in English: | Convex envelopes of sets |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | dissertation |
| Thesis language: | |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Ondřej Kalenda, Ph.D., DSc. |
| Author: | hidden - assigned by the advisor |
| Date of registration: | 27.09.2013 |
| Date of assignment: | 27.09.2013 |
| Guidelines |
| Studovat tzv. (I)-obálky podmnožin duálů Banachových prostorů, jejich vztah k dalším typům konvexních obálek, jejich aplikace a modifikace. |
| References |
| V.P. Fonf, J. Lindenstrauss and R.R. Phelps. Infinite dimensional convexity. In: Handbook of the geometry of Banach spaces, vol. 1 (eds. W.B. Johnson and J. Lindenstrauss). North-Holland, 2001, 599-670.
O. Kalenda. (I)-envelopes of closed convex sets in Banach spaces. Israel J. Math. 162 (2007), no. 1, 157-181. O. Kalenda. (I)-envelopes of unit balls and James' characterization of reflexivity. Studia Math. 182 (2007), no. 1, 29-40. Pfitzner, Hermann. Boundaries for Banach spaces determine weak compactness. Invent. Math. 182 (2010), no. 3, 585–604. Další literatura dle potřeby. |