Publication

2010 - American Mathematical Society, Providence, R.I, Rhode Island

Language

English

Word Count

60,250 words, Guess

Page Count

241 pages

Identifiers

and 3 more

Classifications

  • DDC515/.7
  • LCCQA321 .K545 2010
  • LCCQA321.K545 2010

Description

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. --Book Jacket.

Subjects

Series Statement

  • University lecture series -- v. 56

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