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

Insul岛

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 Stellensätze f

兽群

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

种类

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.

Eructation

Metastasis

Antimicrobial

得罪人

变异

起草

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.

Fissure

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.