This book is a set of popular and application-oriented functional analysis textbooks (especially the application of quantum mechanics). The content includes Hilbert space geometry, bounded linear operators, spectral characteristics of compact operators, unbounded operators, spectral decomposition of self-adjoint operators, spectral family and spectral decomposition of unitary operators, self-adjoint continuation of symmetric operators, and the appendix - moment problems and function integral representation.
Reader comments
But I really like its application orientation, especially the application of quantum mechanics. The content of the book is very rich, and I am very interested in the spectral decomposition of bounded linear operators and self-adjoint operators. Although I probably won't actually study these, it's still interesting to learn about. Do you have any particular thoughts on this book?
But I really like its application orientation, especially the application of quantum mechanics. The content of the book is very rich, and I am very interested in the spectral decomposition of bounded linear operators and self-adjoint operators. Although I probably won't actually study these, it's still interesting to learn about. Do you have any particular thoughts on this book?