Ondrej Kalenda

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

Content of the lectures and classes

Conditions for exams

Recommended literature

The lecture notes available (here form the basic source.

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

More precisely:

The first two topics - Banach algebras and C*-algebras - are more or less covered by Chapters 10 and 11 of [1]. The third and the fourth topics - unbounded operators and spectral decompositions - are inspired mainly by Chapters 12 and 13 of [1] and by Chapters 18-21 of [2]. The correspondence is not exact, moreover, the approaches in the two books differ in several points.