MU:MU03255 Chapters in Funct. Anal. II - Course Information
MU03255 Chapters in Functional Analysis II
Mathematical Institute in OpavaSummer 2020
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Miroslav Engliš, DrSc. (lecturer)
RNDr. Petr Blaschke, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Miroslav Engliš, DrSc.
Mathematical Institute in Opava - Timetable
- Tue 11:25–13:00 19
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- ( MU03253 Chapters in Functional Analysi || MU03254 Chapters in Funct. Anal. I ) && TYP_STUDIA(N)
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, N1101)
- Geometry and Global Analysis (programme MU, N1101)
- Mathematical Analysis (programme MU, N1101)
- Course objectives
- Students will acquire basic knowledge of selected advanced fields of functional analysis needed for further study of mathematics, as well as for completing the course of Chapters in Functional Analysis. Contents of the course cover part of the requirements specified for the Final State Examination.
- Syllabus
- Convex analysis, Krein-Milman theorem.
Banach algebras.
Spectral theory in the Hilbert space.
Basic distribution theory.
- Convex analysis, Krein-Milman theorem.
- Literature
- recommended literature
- V. I. Averbuch. Functional Analysis, pomocné učební texty MÚ SU. MÚ SU, Opava, 1999. info
- L. Mišík. Funkcionálna analýza. Bratislava, 1989. info
- K. Najzar. Funkcionální analýza. Praha, 1988. info
- A. N. Kolmogorov, S. V. Fomin. Základy teorie funkcí a funkcionální analýzy. Praha, SNTL, 1975. info
- W. Rudin. Functional analysis. McGraw-Hill, 1973. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period. - Teacher's information
- Prex-exam credit:
Active participation in tutorials, passing the final test to at least 60%.
Exam:
Familiarity with the course material covered in the lectures.
- Enrolment Statistics (Summer 2020, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2020/MU03255