Faculty of Mathematics and Physics

Functional Analysis 2

Information in Student Information System


Organization of the course


Content of the course, expected knowledge and connections to other courses


Recommended literature


Lecture notes


Credit requirements
(including statistical data)


Content of the lectures and classes


Conditions from exams
(including statistical data)

Recommended literature

The literature recommended in SIS is the following:
[1] Rudin, W.: Functional analysis. Second edition, McGraw-Hill, Inc., New York, 1991
[2] Meise R. and Vogt D. : Introduction to functional analysis, Oxford University Press, New York, 1997
[3] Jarchow H. : Locally convex spaces, B. G. Teubner, Stuttgart, 1981


More precisely:

The first topic - unbounded operators - is inspired mainly by the Chapter 13 of [1] and by the Chapters 19-21 of [2]. The correspondence is not exact, moreover, the approaches in the two books differ in several points.


The second topic - locally convex topologies - is more than covered by the monograph [3].
More precisely: Section XI.1 is essentially covered by [3, Sections 8.4 and 8.5], Section XI.2 is a special case of results from [3, Sections 9.3-9.5], Section XI.3 is contained in [3, Section 7.5], Section XI.4 is related to [3, Section 9.8].

The approach in the named monograph is much more astract. A more suitable monograph is G.Köthe: Topological vector spaces I, Springer-Verlag 1969, namely paragraphs 21, 24 and 25. However, also these paragraphs contain more results in a more general context than the course.