MU03253 Chapters in Functional Analysis I

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Miroslav Engliš, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Miroslav Engliš, DrSc.
Mathematical Institute in Opava
Timetable
Tue 11:25–13:00 19
  • Timetable of Seminar Groups:
MU03253/01: Tue 13:05–14:40 19, M. Engliš
Prerequisites (in Czech)
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
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
  • Prerequisites: normed, Banach, Hilbert spaces, basic principles of functional analysis.
    Dual spaces, spaces of operatprs, weak topologies.
    Integral operators.
    Completely continuous and compact operators.
Literature
    required literature
  • W. Rudin. Functional analysis. McGraw-Hill, 1973. info
    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
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.

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