Welcome to MATP15 Linear Functional Analysis, 7.5 credits

 General Information

​MATP15 Linear Functional Analysis is an optional course for a Master of Science degree in mathematics.
Functional Analysis is the language of modern Analysis and as such it
appears in almost any related context. The course covers the basics of
the discipline: The Hahn-Banach Theorem, normed  spaces, Hilbert spaces,
Banach spaces and their duals, reflexive spaces, weak and weak-star
convergence (topologies), the Banach-Alaoglu Theorem, basic theory of
bounded linear maps, compact maps and their spectral theory, and finally
the spectral theorem for compact symmetric maps on a Hilbert space.

Teaching
The teaching consists of lectures, seminars.

Assessment
The course is assessed through a written and an oral examination.

Course literature
Peter D. Lax, Functional Analysis, (Wiley Pure and Applied Mathematics: A Series of Texts, Monographs and Tracts), 2002, ISBN: 978-0-471-55604-6.

Schedule
The schedule is available in the TimeEdit schedule tool. For instructions on how to use TimeEdit click here.
  
  
Syllabus_MATP15.pdfSyllabus_MATP15
Kursplan_MATP15.pdfKursplan_MATP15
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