M6150 Linear Functional Analysis I

Faculty of Science
Spring 2000
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Alexander Lomtatidze, DrSc. (lecturer)
Guaranteed by
prof. Alexander Lomtatidze, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. Alexander Lomtatidze, DrSc.
Prerequisites (in Czech)
M3100 Mathematical Analysis III && M4170 Measure and Integral
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
Syllabus
  • Classification of topological vector spaces (normed spaces, Hilbert spaces, metric vector spaces, locally convex spaces) Linear bounded operators in normed spaces (Hahn-Banach theorem, Banach-Steinhaus theorem, open mapping theorem, closed graph theorem) Dual spaces and operators (representation of linaer bounded functionals, reflexivity, weak convergence, completeness and compactness, basic spectral theory Compact operators (compact sets in normed spaces, compact operators, Fredholm theorems, spectral theorems)
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M6150