MU03254 Chapters in Functional Analysis I

Mathematical Institute in Opava
Winter 2015
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Miroslav Engliš, DrSc. (lecturer)
RNDr. Jiří Jahn, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Miroslav Engliš, DrSc.
Mathematical Institute in Opava
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. 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)
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 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020.
  • Enrolment Statistics (Winter 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2015/MU03254