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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second
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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition Paperback - 2017 - 2nd Edition

by Paul R. Halmos

From the rear cover

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.
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Details

  • Title Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition
  • Author Paul R. Halmos
  • Binding Paperback
  • Edition number 2nd
  • Edition 2
  • Pages 128
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications
  • Date 2017
  • Features Bibliography
  • ISBN 9780486817330 / 0486817334
  • Weight 0.39 lbs (0.18 kg)
  • Dimensions 8.8 x 5.9 x 0.3 in (22.35 x 14.99 x 0.76 cm)
  • Library of Congress subjects Spectral theory (Mathematics), Hilbert space
  • Library of Congress Catalog Number 2017027362
  • Dewey Decimal Code 515.733

About the author

Hungarian-born Paul R. Halmos (1916-2006) is widely regarded as a top-notch expositor of mathematics. He taught at the University of Chicago and the University of Michigan as well as other universities and made significant contributions to several areas of mathematics, including mathematical logic, probability theory, ergodic theory, and functional analysis.

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Introduction to Hilbert Space and the Theory of Spectral Multiplicity

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

by Halmos, Paul R

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ISBN 10 / ISBN 13
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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Dover...
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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Dover Books on Mathematics)

by Halmos, Paul R.

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Paperback
ISBN 10 / ISBN 13
9780486817330 / 0486817334
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Introduction to Hilbert Space and the Theory of Spectral Multiplicity: Second Edition (Dover...
Stock Photo: Cover May Be Different

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

by Halmos, Paul R

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  • Paperback
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Binding
Paperback
ISBN 10 / ISBN 13
9780486817330 / 0486817334
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