A Short Course on Spectral Theory

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Focusing on operator theory, this book equips readers with essential tools for analyzing spectra of operators in infinite-dimensional spaces, particularly Hilbert spaces. It covers diverse techniques that extend beyond mere spectral calculations, delving into advanced topics such as quantum physics, noncommutative K-theory, and the classification of simple C*-algebras. The material serves as a foundation for engaging with contemporary research in these areas, making it a vital resource for those seeking to deepen their understanding of modern analysis.