Pure and Applied Mathematics

Series Editor:

  • Dominique Perrin, Marne-La-Vallee (UPEM), 5 Boulevard Descartes, 77420 Champs-sur-Marne, France

The Pure and Applied Mathematics series has a long history of outstanding textbooks. It has served generations of mathematicians as a tool for teaching and research and as a reference for important concepts and results. The revival of this series after years of interruption is an important event. The series will continue to offer to researchers and students updates of the most important progress in mathematics. As it has been the case before, it will cover both pure and applied mathematics, with an important attention to the fields at the interface between mathematics and related disciplines, notably Computer Science and Engineering. The new volumes will contain complete presentations with full proofs of the results and exercises to provide complements as well as teaching aids.

Key Features

  • Offer to the readers an organized and accessible presentation of results scattered in the literature
  • Allow the authors to deliver the content of their field to a large audience
  • Be well adapted for teaching purposes by the clarity of the presentation and the organization in independent chapters.


"This book can be highly recommended to every reader interested in functional analysis and its applications" MathSciNet on Sobolev Spaces by Robert Adams (1975)

" … these two volumes represent a magnificent achievement. They will be an essential item on every operator algebraist's bookshelves and will surely become the primary source of instruction for research students in von Neumann algebra theory." Bulletin of the London Mathematical Society on Fundamentals of the Theory of Operator Algebras, Kadison Ringrose (1983)

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