Analytic Hilbert Modules
Analytic Hilbert Modules
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DOI：
10.1201/9780203008836
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发表时间：
2003-03
期刊：
影响因子：
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通讯作者：
Xiaoman Chen;K. Guo
中科院分区：
文献类型：
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作者：
Xiaoman Chen;K. Guo
1989年，道格拉斯和保尔森在分析希尔伯特模块理论方面的开创性工作促成了许多重大的研究工作。这反过来又导致了一些有趣而有价值的结果，特别是在算子理论和泛函分析领域。随着这片土地开始开花，是时候把这些成果收集在一起了。由两位在该领域最活跃和经常被引用的研究人员撰写，解析希尔伯特模块报告了作者和其他人的进展，包括特征空间理论，刚性，等价问题，Arveson模块，可拓理论，以及在n维复空间上再现希尔伯特空间。
The seminal 1989 work of Douglas and Paulsen in the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results under one cover. Written by two of the most active and often-cited researchers in the field, Analytic Hilbert Modules reports on the progress made by the authors and others, including the characteristic space theory, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.