Trace Ideals and Their Applications: Second Edition (Mathematical Surveys and Monographs) 2nd Edition by Barry Simon (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review …very well suited for a graduate course since the exposition is clear and perfectly self-contained. —- Mathematical ReviewsFrom 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

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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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