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Introduction to Banach Spaces - NRFA056

Title:	Úvod do Banachových prostorů
Guaranteed by:	Institute of Mathematics CAS (32-MUAV)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/0, C [HT] summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
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
Is pre-requisite for:	NRFA102, NRFA103, NRFA107, NRFA105, NRFA104

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (01.06.2011)

Introductory course to Banach space theory. Schauder bases, structure of classical sequence spaces lp; c0 and basic structure of L1(m); C(K). Main examples of the classical theory due to James and Tsirelson will be constructed. The knowledge on the level of the course Introduction to Functional Analysis (NRFA006) is desirable.

Syllabus -

Last update: G_M (03.06.2004)

Structure of general and classical lp, Lp spaces will be investigated in detail.Famous examples such as James' and Tsirelson's spaces will be described.Some fundamental theorems in this area, e.g. Jame's and Rosenthal's theorems will be proven.

The course is designed for students familiar with the basic functional analysis, duality theory, weak topologies and the representation of the duals of classical spaces.