Selected chapters of the measure theory
The course is not on the list Without time-table
Code | Completion | Credits | Range | Language |
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XP01TEM | ZK | 4 | 2+1 | Czech |
- Course guarantor:
- Lecturer:
- Tutor:
- Supervisor:
- Department of Mathematics
- Synopsis:
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Basic properties of finetely additive and sigma-additive measures, classic results (the Radon-Nikodym theorem and the Carathéodory theorem), the extension of finately additive measures (the Horn-Tarski technique, the Banach limit method, some questions of the lifting, etc.), the Hammer-Sobczyk theorem.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
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1. K. P. S. Bhaskara Rao, M. Bhaskara Rao: Theory of Charges, Academic Press, 1983
2. J.L. Doob: Measure Theory, Springer New York, 2012
- Note:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans:
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- Doctoral studies, daily studies (compulsory elective course)
- Doctoral studies, combined studies (compulsory elective course)
- Doctoral studies, structured daily studies (compulsory elective course)
- Doctoral studies, structured combined studies (compulsory elective course)