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Course, academic year 2019/2020
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Topological and Geometric Properties of Convex Sets II - NRFA176
Title in English: Topologické a geometrické vlastnosti konvexních množin II
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Class: DS, matematická analýza
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Annotation -
Last update: T_KMA (06.05.2010)
The lecture is devoted to studying properties of compact convex sets in locally convex spaces.
Aim of the course - Czech
Last update: T_KMA (06.05.2010)

Prednáška je venována základním i hlubším vlastnostem kompaktních konvexních množin a jejich aplikacím.

Literature - Czech
Last update: T_KMA (06.05.2010)

Alfsen: Compact convex sets and boundary integrals

Asimow, Ellis: Convexity theory and its applications in functional analysis

Johnson, Lindenstrauss: Handbook of geometry of Banach spaces I, II

Syllabus -
Last update: T_KMA (06.05.2010)

Basics of the Choquet theory, integral representation theorems, simplices, topological properties of extreme points, Poulsen's simplex, Lazar's selection theorem.

Entry requirements -
Last update: T_KMA (06.05.2010)

Basic courses of functional analysis and topology

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