Quantitative approach to Banach spaces

• Thesis title in Czech: Kvantitativní přístup k Banachovým prostorům
• Thesis title in English: Quantitative approach to Banach spaces
• Academic year of topic announcement: 2022/2023
• Thesis type: dissertation
• Thesis language: angličtina
• Department: Department of Mathematical Analysis (32-KMA)
• Supervisor: prof. RNDr. Ondřej Kalenda, Ph.D., DSc.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 07.09.2023
• Date of assignment: 07.09.2023
• Confirmed by Study dept. on: 02.10.2023

Guidelines

Investigate quantitative properties of Banach spaces (for example the reciprocal Dunford-Pettis property and related properties) and coincidence of measures of weak non-compactness in classical spaces.

References

1. M.Kačena, O.Kalenda and J.Spurný: Quantitative Dunford-Pettis property. Advances in Math. 234 (2013), 488-527.
2. O.Kalenda and J.Spurný: Quantification of the reciprocal Dunford-Pettis property. Studia Math. 210 (2012), no. 3, 261-278.
3. J.Hamhalter and O.Kalenda: Measures of weak non-compactness in spaces of nuclear operators. Math. Z. 292 (2019), no. 1-2, 453-471.
4. J.Hamhalter, O.Kalenda, A.Peralta and H.Pfitzner: Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples. J. Funct. Anal. 278 (2020), no. 1, article no. 108300.

Other papers and monographs if needed.