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Trace Ideals and Their Applications, Second Edition
 
 
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Trace Ideals and Their Applications, Second Edition [Hardcover]

Barry Simon (Author)
5.0 out of 5 stars  See all reviews (1 customer review)


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Book Description

Mathematical Surveys and Monographs September 2005
This is a second edition of a well-known book stemming from the author's lectures on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand.

For this edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an addendum describing some developments since the original notes were published.

This book continues to be a vital source of information for those interested in the theory of trace ideals and in its applications to various areas of mathematical physics.



Editorial Reviews

Review

...very well suited for a graduate course since the exposition is clear and perfectly self-contained. ---- Mathematical Reviews

From a review of the first edition: Beautifully written and well organized ... indispensable for those interested in certain areas of mathematical physics ... for the expert and beginner alike. The author deserves to be congratulated both for his work in unifying a subject and for showing workers in the field new directions for future development. ---- Zentralblatt MATH --This text refers to the Paperback edition.

Product Details

  • Hardcover: 150 pages
  • Publisher: American Mathematical Society; 2 edition (September 2005)
  • Language: English
  • ISBN-10: 0821835815
  • ISBN-13: 978-0821835814
  • Product Dimensions: 10.2 x 7 x 0.6 inches
  • Shipping Weight: 1.2 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,487,719 in Books (See Top 100 in Books)

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1 of 3 people found the following review helpful:
5.0 out of 5 stars schatten Lp ideals, September 12, 1999
This books covers the Schatten Lp ideal theory in an hilbertian context. While one may appreciate the very Simon's writing, this books shows his old age.

Nevertheless someone deceived by the C* algebra may appreciate this text centerred around scattering theory

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Inside This Book (learn more)
First Sentence:
We begin with a number of short topics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spectral shift function, rank one perturbations, singular continuous spectrum, finite rank operators, pure point spectrum, trace class, trace ideals, trace formula, spectral projection
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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