© 2016
Operators on Hilbert Space
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Part of the Texts and Readings in Mathematics book series (TRIM, volume 71)
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© 2016
Part of the Texts and Readings in Mathematics book series (TRIM, volume 71)
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.