Abstract
As with all mathematical structures, it is important to know what kinds of functions from one Hilbert space to another preserve the important properties of the structure. Besides mathematical interest, the functions on Hilbert space that we study in this chapter provide a crucial link to the notion of an “observable physical quantity” in the Hilbert space formulation of quantum mechanics.
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© 1989 Springer-Verlag New York Inc.
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Cohen, D.W. (1989). Maps on Hilbert Spaces. In: An Introduction to Hilbert Space and Quantum Logic. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8841-8_5
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DOI: https://doi.org/10.1007/978-1-4613-8841-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8843-2
Online ISBN: 978-1-4613-8841-8
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