Written as a textbook, A First Course in Functional Analysis is an
introduction to basic functional analysis and operator theory, with
an emphasis on Hilbert space methods. The aim of this book is to
introduce the basic notions of functional analysis and operator
theory without requiring the student to have taken a course in
measure theory as a prerequisite. It is written and structured the
way a course would be designed, with an emphasis on clarity and
logical development alongside real applications in analysis. The
background required for a student taking this course is minimal;
basic linear algebra, calculus up to Riemann integration, and some
acquaintance with topological and metric spaces.
General
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