Introduction to Hilbert Space and the Theory of Spectral

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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Dover Books on Mathematics)

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."
Country USA
Brand Dover Publications
Manufacturer Dover Publications
Binding Paperback
ItemPartNumber 9780486817330
ReleaseDate 2017-12-13
UnitCount 1
UPCs 800759817337
EANs 9780486817330

Country	USA
Brand	Dover Publications
Manufacturer	Dover Publications
Binding	Paperback
ItemPartNumber	9780486817330
ReleaseDate	2017-12-13
UnitCount	1
UPCs	800759817337
EANs	9780486817330

Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Dover Books on Mathematics)

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