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.|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.
| ISBN: | 9780821852545 |
| Publication date: | 30th January 2011 |
| Author: | A IA Khelemskii |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 241 pages |
| Series: | University Lecture Series |
| Genres: |
Functional analysis and transforms Calculus and mathematical analysis |
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.
Quantum Functional Analysis features in the following genres: Functional analysis and transforms, Calculus and mathematical analysis
Paperback. £53.10, down from the £59.00 cover price. Not Available.
Quantum Functional Analysis was written by A IA Khelemskii and published by American Mathematical Society
Quantum Functional Analysis has 241 pages
Yes it is part of University Lecture Series series
£53.10, reduced from £59.00. Not Available.