C*代数入门 在线电子书 图书标签: C*-Algebra 数学 math in analysis_and_PDE Text Quantum Information
发表于2024-11-26
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《C*代数入门(英文版)》讲述了:This book gives an introduction to C*-algebras and their representations on Hilbert spaces. We have tried to present only what we believe are the most basicideas, as simply and concretely as we could. So whenever it is convenient (and it usually is), Hilbert spaces become separable and C*-algebras become GCR. Thispractice probably creates an impression that nothing of value is known about other*-algebras. Of course that is not true. But insofar as representations are con-cerned, we can point to the empirical fact that to this day no one has given aconcrete parametric description of even the in' educible representations of any*-algebra which is not GCR. Indeed, there is metamathematical evidence whichstrongly suggests that no one ever will (see the discussion at the end of Section3.4). Occasionally, when the idea behind the proof of a general theorem is exposedvery clearly in a special case, we prove only the special case and relegate generalizations to the exercises. In effect, we have systematically eschewed the Bourbaki tradition. We have also tried to take into account the interests of a variety of readers. For example, the multiplicity theory for normal operators is contained in Sections 2. Iand 2.2. (it would be desirable but not necessary to include Section I. 1 as well),whereas someone interested in BoreL structures could read
很多同学在刚开始学习C*代数时,大都会有过这样的疑惑,明明是一些很基本的元素不等式,其证明却却是相当冗长啰嗦的。这主要是C*-代数尽管带有一些结构,但相应的工具却不是很全面,因此就需要有一定的技巧来处理了。 约定:本文中提到的C*-代数都是带单位元1的。 ...
评分很多同学在刚开始学习C*代数时,大都会有过这样的疑惑,明明是一些很基本的元素不等式,其证明却却是相当冗长啰嗦的。这主要是C*-代数尽管带有一些结构,但相应的工具却不是很全面,因此就需要有一定的技巧来处理了。 约定:本文中提到的C*-代数都是带单位元1的。 ...
评分很多同学在刚开始学习C*代数时,大都会有过这样的疑惑,明明是一些很基本的元素不等式,其证明却却是相当冗长啰嗦的。这主要是C*-代数尽管带有一些结构,但相应的工具却不是很全面,因此就需要有一定的技巧来处理了。 约定:本文中提到的C*-代数都是带单位元1的。 ...
评分很多同学在刚开始学习C*代数时,大都会有过这样的疑惑,明明是一些很基本的元素不等式,其证明却却是相当冗长啰嗦的。这主要是C*-代数尽管带有一些结构,但相应的工具却不是很全面,因此就需要有一定的技巧来处理了。 约定:本文中提到的C*-代数都是带单位元1的。 ...
评分很多同学在刚开始学习C*代数时,大都会有过这样的疑惑,明明是一些很基本的元素不等式,其证明却却是相当冗长啰嗦的。这主要是C*-代数尽管带有一些结构,但相应的工具却不是很全面,因此就需要有一定的技巧来处理了。 约定:本文中提到的C*-代数都是带单位元1的。 ...
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