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算子理论教程(A Course in Operator Theory) 1st edition (美)约翰·康韦(john B. Conway)

  • SKU: BELL-73654820
算子理论教程(A Course in Operator Theory) 1st edition (美)约翰·康韦(john B. Conway)
$ 31.00 $ 45.00 (-31%)

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算子理论教程(A Course in Operator Theory) 1st edition (美)约翰·康韦(john B. Conway) instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 68.23 MB
Pages: 372
Author: (美)约翰·康韦(John B. Conway)
ISBN: 9787040469158, 7040469154
Language: English
Year: 2018
Edition: 1

Product desciption

算子理论教程(A Course in Operator Theory) 1st edition (美)约翰·康韦(john B. Conway) by (美)约翰·康韦(john B. Conway) 9787040469158, 7040469154 instant download after payment.

算子理论在现代数学的许多重要领域诸如泛函分析、微分方程、指标论、表示论、数学物理中充当重要角色。本书覆盖了算子理论的中心课题,叙述清晰简洁,读者很容易与Conway的写作产生互动。

本书前几章介绍和回顾了C*-代数、正规算子、紧算子和非正规算子,主题包含谱理论、泛函演算和Fredholm指标。此外,还论述了算子理论和解析函数之间某些深刻的联系。后续章节讲述了更高级的主题,包括C*-代数的表示、紧微扰和von Neumann代数等。重要结果覆盖了诸如Sz.-Nagy伸缩定理、Weyl-von Neumann-Berg定理和von Neumann代数的分类,同样也讲述了对Fredholm理论的处理,这些高级论题均处于当今研究的中心。最后一章介绍了自返子空间,即由其不变子空间决定的算子子空间。这些连同超自返空间是现代非对称代数研究中成功的插曲之一。

Conway教授的权威性处理使本书成为一本引人入胜但又相当缜密的教材,适合于已经上过泛函分析标准课程的研究生。

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