MU:MU03254 Chapters in Funct. Anal. I - Course Information

MU03254 Chapters in Functional Analysis I

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: z (credit).

Teacher(s)

prof. RNDr. Miroslav Engliš, DrSc. (lecturer)
RNDr. Jiřina Jahnová, 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

• Applied Mathematics (programme MU, N1101)
• Geometry (programme MU, M1101)
• Geometry (programme MU, N1101)
• Mathematical Analysis (programme MU, M1101)
• Mathematical Analysis (programme MU, N1101)
• Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
• Secondary School Teacher Training in Mathematics (programme FPF, M7504)
• Upper Secondary School Teacher Training in Mathematics (programme MU, N1101)
• Secondary school teacher training in general subjects with specialization in Mathematics (programme FPF, M7504)

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%.

• Enrolment Statistics (Winter 2010, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2010/MU03254