MU03255 Chapters in Functional Analysis II

Mathematical Institute in Opava
Summer 2015
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
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
Prerequisites (in Czech)
MU03253 Chapters in Functional Analysi || MU03254 Chapters in Funct. Anal. I
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
there are 6 fields of study the course is directly associated with, display
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.
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%.
Exam:
Familiarity with the course material covered in the lectures.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2015/MU03255