Introduction to Banach space theory
Supervisor: Oleksiy Yevdokimov
Description: The aim of this course is to describe the basic structures of Banach spaces. Contents: basic definitions and examples; basic principles with applications; weak topologies and applications; operators on Banach spaces; bases in Banach spaces; sequences, series and a little geometry in Banach spaces.
Prerequisites: "Algebra and Calculus" course, knowledge of basic structures of Abstract Algebra
Main text: T. J. Morrison, {Functional analysis: An introduction to Banach space theory}, J. Wiley, 2001; A. N. Kolmogorov and S. V. Fomin, {Elements of the theory of functions and functional analysis}, Mineola: Dover, 1999.
Some potential study topics
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