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Titlebook: An Invitation to Unbounded Representations of ?-Algebras on Hilbert Space; Konrad Schmüdgen Textbook 2020 The Editor(s) (if applicable) an

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11#
發(fā)表于 2025-3-23 09:43:29 | 只看該作者
https://doi.org/10.1007/978-3-642-94331-7-seminorm. If this .-algebra of bounded elements coincides with ., then . is called Archimedean. In this case each .-positive .- representation of . acts by bounded operators and the corresponding .-seminorm can be characterized in terms of the .-positive representations. Two abstract Stellens?tze f
12#
發(fā)表于 2025-3-23 17:47:06 | 只看該作者
https://doi.org/10.1007/978-3-642-94331-7e representation theory of this relation is closely linked to properties of the dynamical system defined by the function F. It is shown that finite-dimensional irreducible representations correspond to cycles of the dynamical system. Infinite-dimensional irreducible representations are classified in
13#
發(fā)表于 2025-3-23 20:57:08 | 只看該作者
https://doi.org/10.1007/978-3-642-48579-4onal expectation which allows one to define induced representations. We develop this theory in detail for representations that are induced from hermitian characters of commutative .-subalgebras. The Bargmann–Fock representation of the Weyl algebra is obtained in this manner.
14#
發(fā)表于 2025-3-24 00:56:12 | 只看該作者
15#
發(fā)表于 2025-3-24 04:52:14 | 只看該作者
16#
發(fā)表于 2025-3-24 06:51:18 | 只看該作者
17#
發(fā)表于 2025-3-24 10:43:46 | 只看該作者
18#
發(fā)表于 2025-3-24 15:53:20 | 只看該作者
19#
發(fā)表于 2025-3-24 22:15:41 | 只看該作者
Induced ,-Representations,onal expectation which allows one to define induced representations. We develop this theory in detail for representations that are induced from hermitian characters of commutative .-subalgebras. The Bargmann–Fock representation of the Weyl algebra is obtained in this manner.
20#
發(fā)表于 2025-3-25 02:54:32 | 只看該作者
Well-Behaved Representations, this chapter we develop three general methods (group graded .-algebras, fraction algebras, compatible pairs) and apply them to the representations of the Weyl algebra and enveloping algebras of finite-dimensional Lie algebras.
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