Lipschitzovsky volné prostory a akce grup
Thesis title in Czech: | Lipschitzovsky volné prostory a akce grup |
---|---|
Thesis title in English: | Lipschitz free spaces and actions of groups |
Key words: | Lipschitzovsky-volný prostor|Banachův prostor|topologická grupa |
English key words: | Lipschitz-free space|Banach space|topological group |
Academic year of topic announcement: | 2024/2025 |
Thesis type: | rigorosum thesis |
Thesis language: | čeština |
Department: | Department of Mathematical Analysis (32-KMA) |
Supervisor: | doc. Mgr. Marek Cúth, Ph.D. |
Author: | hidden![]() |
Date of registration: | 03.11.2022 |
Date of assignment: | 03.11.2022 |
Confirmed by Study dept. on: | 17.04.2025 |
Date and time of defence: | 15.05.2025 00:00 |
Date of electronic submission: | 02.05.2024 |
Date of submission of printed version: | 02.05.2024 |
Date of proceeded defence: | 15.05.2025 |
Guidelines |
Student rozpracuje nové výsledky vycházející z bakalářské práce "Lipschitzovsky volné p-prostory". Dále se seznámí se s aplikacemi teorie akcí grup na Banachových prostorech, tyto poznatky uceleně zpracuje a pokusí se je aplikovat v kontextu Lipschitzovsky volných prostorů. |
References |
[1] F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Lipschitz free p-spaces for 0<p<1, Israel J. Math., 240 (1) (2020), 65–-98.
[2] M. Cúth, M. Doucha: Projections in Lipschitz-free spaces induced by group actions, accepted in Math. Nachr. [3] P. Nowak, Group actions on Banach spaces, Handbook of group actions. Vol. II, 121–149, Adv. Lect. Math. (ALM), 32, Int. Press, Somerville, MA, 2015. |