Abstract
In Section 1.1 we give the definition and some elementary properties of a separable Hilbert space, with L2-spaces as examples. Section 1.2 contains the basic notions about linear operators and a characterization of isometric and unitary operators. Section 1.3 is devoted to a discussion of the Riemann integral of vector-valued and operator-valued functions.
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© 1981 D. Reidel Publishing Company, Dordrecht, Holland
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Amrein, W.O. (1981). Linear Operators in Hilbert Space. In: Non-Relativistic Quantum Dynamics. Mathematical Physics Studies, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0316-2_1
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DOI: https://doi.org/10.1007/978-94-010-0316-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-1324-7
Online ISBN: 978-94-010-0316-2
eBook Packages: Springer Book Archive