Operators on Hilbert Space
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Beschreibung
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.
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.
Serves as a primer on the theory of bounded linear operators on separable Hilbert space Presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus Discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras 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 Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science and Technology Includes supplementary material: sn.pub/extras
Autor*in
V. S. Sunder
Themen in »Operators on Hilbert Space«
Hilbert space Spectral Theorem Polar decomposition Compact operators Orthonormal bases Adjoints