MU03254 Chapters in Functional Analysis I

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: z (credit).
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:
MU03254/01: 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. Spectral analysis of linear operators.
    Completely continuous and compact operators, Riesz-Schauder theory.
Literature
    recommended literature
  • V. I. Averbuch. Functional Analysis, pomocné učební texty MÚ SU. Online. MÚ SU, Opava, 1999, [citováno 2024-04-24] info
  • L. Mišík. Funkcionálna analýza. Online. Bratislava, 1989, [citováno 2024-04-24] info
  • K. Najzar. Funkcionální analýza. Online. Praha, 1988, [citováno 2024-04-24] info
  • A. N. Kolmogorov, S. V. Fomin. Základy teorie funkcí a funkcionální analýzy. Online. Praha, SNTL, 1975, [citováno 2024-04-24] info
  • W. Rudin. Functional analysis. Online. McGraw-Hill, 1973, [citováno 2024-04-24] 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%.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2020/MU03254