SubjectsSubjects(version: 845)
Course, academic year 2018/2019
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Topological Methods in Functional Analysis 1 - NMMA435
Title in English: Topologické metody ve funkcionální analýze 1
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018 to 2018
Semester: winter
E-Credits: 4
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: prof. RNDr. Ondřej Kalenda, Ph.D., DSc.
Class: M Mgr. MA
M Mgr. MA > Povinně volitelné
Classification: Mathematics > Functional Analysis, Topology and Category
Incompatibility : NRFA079
Interchangeability : NRFA079
Annotation -
Last update: T_KMA (02.05.2013)
Weak topologies on Banach spaces. Recommended for master students of mathematical analysis
Course completion requirements - Czech
Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.09.2018)

Předmět je zakončen zkouškou.

Literature - Czech
Last update: T_KMA (02.05.2013)

Fabian M., Habala P., Hájek P., Montesions Santalucía V.,Pelant J. and Zizler V.: Banach space theory (the basis for linear and nonlinear analysis), Springer, New York, 2011.

Requirements to the exam - Czech
Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.09.2018)

Zkoušky jsou ústní. Student si vylosuje dvojici otázek z přednesené látky a po přípravě je předestře zkoušejícímu.

Syllabus -
Last update: T_KMA (25.04.2013)

Properties of the weak topology, separable spaces, reflexive spaces, weakly compact sets, weakly compactly generated spaces, weakly Lindelöf spaces.

Entry requirements -
Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (23.05.2019)

Basic knowledge of functional analysis (Banach spaces) and general topology.

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