Graduate students in mathematics, who want to travel light, will
find this book invaluable; impatient young researchers in other
fields will enjoy it as an instant reference to the highlights of
modern analysis. Starting with general topology, it moves on to
normed and seminormed linear spaces. From there it gives an
introduction to the general theory of operators on Hilbert space,
followed by a detailed exposition of the various forms the spectral
theorem may take; from Gelfand theory, via spectral measures, to
maximal commutative von Neumann algebras. The book concludes with
two supplementary chapters: a concise account of unbounded
operators and their spectral theory, and a complete course in
measure and integration theory from an advanced point of view.
General
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