AMS Bookstore LOGO amslogo
AMS TextbooksAMS Applications-related Books
Quantum Functional Analysis: Non-Coordinate Approach
A. Ya. Helemskii, Moscow Lomonosov State University, Russia

University Lecture Series
2010; 241 pp; softcover
Volume: 56
ISBN-10: 0-8218-5254-X
ISBN-13: 978-0-8218-5254-5
List Price: US$54
Member Price: US$43.20
Order Code: ULECT/56
[Add Item]

Request Permissions

See also:

Painlevé Equations through Symmetry - Masatoshi Noumi

This book contains a systematic presentation of quantum functional analysis, a mathematical subject also known as operator space theory. Created in the 1980s, it nowadays is one of the most prominent areas of functional analysis, both as a field of active research and as a source of numerous important applications.

The approach taken in this book differs significantly from the standard approach used in studying operator space theory. Instead of viewing "quantized coefficients" as matrices in a fixed basis, in this book they are interpreted as finite rank operators in a fixed Hilbert space. This allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject.

The book can be used by graduate students and research mathematicians interested in functional analysis and related areas of mathematics and mathematical physics. Prerequisites include standard courses in abstract algebra and functional analysis.


Graduate students and research mathematicians interested in functional analysis.


"This book is highly recommended to mathematicians who wish to become acquainted with the research field of operator spaces, operator modules and operator algebras."

-- Mathematical Reviews

Powered by MathJax

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia