Abstract
In this chapter we pause to make an excursion to the well-established theory of Hilbert–Schmidt and trace class operators. These are venerable topics from functional analysis; besides their intrinsic interest in mathematics, they are of paramount importance for studying the notion of mixed state in quantum mechanics, as we will see in the next chapter.
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© 2011 Springer Basel AG
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de Gosson, M.A. (2011). Hilbert–Schmidt and Trace Class Operators. In: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Pseudo-Differential Operators, vol 7. Springer, Basel. https://doi.org/10.1007/978-3-7643-9992-4_12
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DOI: https://doi.org/10.1007/978-3-7643-9992-4_12
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Publisher Name: Springer, Basel
Print ISBN: 978-3-7643-9991-7
Online ISBN: 978-3-7643-9992-4
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