《C*代數入門(英文版)》講述瞭: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
發表於2024-12-23
C*代數入門 2024 pdf epub mobi 電子書 下載
很多同學在剛開始學習C*代數時,大都會有過這樣的疑惑,明明是一些很基本的元素不等式,其證明卻卻是相當冗長囉嗦的。這主要是C*-代數盡管帶有一些結構,但相應的工具卻不是很全麵,因此就需要有一定的技巧來處理瞭。 約定:本文中提到的C*-代數都是帶單位元1的。 ...
評分很多同學在剛開始學習C*代數時,大都會有過這樣的疑惑,明明是一些很基本的元素不等式,其證明卻卻是相當冗長囉嗦的。這主要是C*-代數盡管帶有一些結構,但相應的工具卻不是很全麵,因此就需要有一定的技巧來處理瞭。 約定:本文中提到的C*-代數都是帶單位元1的。 ...
評分很多同學在剛開始學習C*代數時,大都會有過這樣的疑惑,明明是一些很基本的元素不等式,其證明卻卻是相當冗長囉嗦的。這主要是C*-代數盡管帶有一些結構,但相應的工具卻不是很全麵,因此就需要有一定的技巧來處理瞭。 約定:本文中提到的C*-代數都是帶單位元1的。 ...
評分很多同學在剛開始學習C*代數時,大都會有過這樣的疑惑,明明是一些很基本的元素不等式,其證明卻卻是相當冗長囉嗦的。這主要是C*-代數盡管帶有一些結構,但相應的工具卻不是很全麵,因此就需要有一定的技巧來處理瞭。 約定:本文中提到的C*-代數都是帶單位元1的。 ...
評分很多同學在剛開始學習C*代數時,大都會有過這樣的疑惑,明明是一些很基本的元素不等式,其證明卻卻是相當冗長囉嗦的。這主要是C*-代數盡管帶有一些結構,但相應的工具卻不是很全麵,因此就需要有一定的技巧來處理瞭。 約定:本文中提到的C*-代數都是帶單位元1的。 ...
圖書標籤: C*-Algebra 數學 math in analysis_and_PDE Text Quantum Information
C*代數入門 2024 pdf epub mobi 電子書 下載