Quantitative properties of Banach spaces
| Thesis title in Czech: | Kvantitativní vlastnosti Banachových prostorů |
|---|---|
| Thesis title in English: | Quantitative properties of Banach spaces |
| Key words: | Banachův prostor, kvantifikace, Grothendieckova vlastnost, Banachova-Saksova vlastnost, Pełczyńského vlastnost (V) |
| English key words: | Banach space, quantification, Grothendieck property, Banach-Saks property, Pełczyński's property (V) |
| Academic year of topic announcement: | 2012/2013 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Ondřej Kalenda, Ph.D., DSc. |
| Author: | RNDr. Hana Krulišová, Ph.D. - assigned and confirmed by the Study Dept. |
| Date of registration: | 26.09.2012 |
| Date of assignment: | 26.09.2012 |
| Confirmed by Study dept. on: | 06.12.2012 |
| Date and time of defence: | 29.09.2016 15:00 |
| Date of electronic submission: | 28.06.2016 |
| Date of submission of printed version: | 28.06.2016 |
| Date of proceeded defence: | 29.09.2016 |
| Opponents: | prof. Matias Raja Baño |
| prof. Jan Hamhalter | |
| Guidelines |
| Studovat kvantitativní verze známých vět z funkcionální analýzy a vlastností Banachových prostorů. |
| References |
| Granero, A. S.; Hernández, J. M.; Pfitzner, H. The distance dist(B,X) when B is a boundary of B(X∗∗). Proc. Amer. Math. Soc. 139 (2011), no. 3, 1095–1098.
Kačena, M., Kalenda, O., Spurný, J. Quantitative Dunford-Pettis property. Preprint http://arxiv.org/abs/1110.1243 Kalenda, Ondřej F. K. (I)-envelopes of unit balls and James' characterization of reflexivity. Studia Math. 182 (2007), no. 1, 29–40. Kalenda, Ondřej F. K. (I)-envelopes of closed convex sets in Banach spaces. Israel J. Math. 162 (2007), 157–181. Pfitzner, Hermann. Boundaries for Banach spaces determine weak compactness. Invent. Math. 182 (2010), no. 3, 585–604. Další (zejména časopisecká) literatura dle potřeby. |