Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Paperback) (ISBN-13: 9780486817330)

This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results of the third chapter, the so-called multiplicity theory. The theory as he presents it deals with arbitrary spectral measures, including the multiplicity theory of normal operators on a not necessarily separable Hilbert space. His explication covers, as another useful special case, the multiplicity theory of unitary representations of locally compact abelian groups.
Suitable for advanced undergraduates and graduate students in mathematics, this volume's sole prerequisite is a background in measure theory. The distinguished mathematician E. R. Lorch praised the book in the Bulletin of the American Mathematical Society as an exposition which is always fresh, proofs which are sophisticated, and a choice of subject matter which is certainly timely.


Author: Paul R. Halmos
ISBN-10: 0486817334
ISBN-13: 9780486817330
Publisher: Dover Publications
Language: English
Published: 12/13/2017
Pages: 128
Format: Paperback
Weight: 0.39lbs
Size: 8.80h x 5.90w x 0.30d