文件名称：A short course on spectral theory
文件大小：1.06MB
文件格式：PDF
更新时间：2013-07-02 03:16:33
spectral theory
This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to calculate spectra of specific operators on infinite-dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra; the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C∗-algebras being three areas of current research activity that require mastery of the material presented here.