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0 reviews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。