Rosenthal's subsequence splitting lemma

• Thesis title in Czech: Rosenthalovo lemma o rozkladu posloupností v L_1
• Thesis title in English: Rosenthal's subsequence splitting lemma
• Key words: Nikodým|Vitali-Hahn-Saks|Biting lemma|Rosenthal
• English key words: Nikodym|Vitali-Hahn-Saks|Biting Lemma|Rosenthal
• Academic year of topic announcement: 2023/2024
• Thesis type: Bachelor's thesis
• Thesis language: angličtina
• Department: Department of Mathematical Analysis (32-KMA)
• Supervisor: prof. RNDr. Jiří Spurný, Ph.D., DSc.
• Author: Bc. Štěpán Ondřej - assigned and confirmed by the Study Dept.
• Date of registration: 06.11.2023
• Date of assignment: 06.11.2023
• Confirmed by Study dept. on: 06.11.2023
• Date and time of defence: 18.06.2024 08:30
• Date of electronic submission: 09.05.2024
• Date of submission of printed version: 09.05.2024
• Date of proceeded defence: 18.06.2024
• Opponents: doc. RNDr. Pavel Pyrih, CSc.

Guidelines

Cílem práce je zpracovat Rosenthalovo lemma o rozkladu posloupností v prostorech L_1 a jeho důsledky.

References

časopisecká literatura, například

Ball, J. M.; Murat, F.: Remarks on Chacon's biting lemma.Proc. Amer. Math. Soc.107(1989), no.3, 655–663.
Đinh Quang Lu'u: A short proof of biting lemma.Sém. Anal. Convexe19 (1989), Exp. No. 1, 13 pp.

Preliminary scope of work

Cílem práce je zpracovat Rosenthalovo lemma o rozkladu posloupností v prostorech L_1 a jeho důsledky.