Abstract
The purpose of this chapter is to introduce all the necessary mathematical notions, and make the remainder of the book self-contained. While none of mathematical objects covered here are new, our goal is to make this work accessible to as many people as possible.
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- 1.
Notice that \(A[\mathscr {D}(H \overset{\circ }{\cdot } A)]\subseteq \mathscr {D}(H)\) fails to be \(\mathcal {T}\)-dense when \(H\notin \mathfrak {M}(\mathscr {A})\) as consequence of the discussion in Remark 3.3.3.
- 2.
It is sometimes also called \(C^*_0\)-group according to [8, Definition 3.1.2].
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De Nittis, G., Lein, M. (2017). Mathematical Framework. In: Linear Response Theory. SpringerBriefs in Mathematical Physics, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-56732-7_3
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DOI: https://doi.org/10.1007/978-3-319-56732-7_3
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