orthodox 发表于 2025-3-28 17:45:07

Representations on Rigged Spaces and Hilbert ,-Modules,. Then induced representations on “ordinary” Hilbert spaces can be defined and each imprimitivity bimodule of two .-algebras A and B yields an equivalence between .-representations of A and B. Finally, operators and .-representations on Hilbert .-modules are briefly investigated.

Gustatory 发表于 2025-3-28 19:14:03

,Formen ärztlicher Berufstätigkeit,finite functions on groups are represented in terms of unitary group representations. The chapter ends with a brief discussion of possible pathologies that can occur in unbounded representation theory on Hilbert space.

耐寒 发表于 2025-3-28 23:32:52

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不透明 发表于 2025-3-29 05:56:46

https://doi.org/10.1007/978-3-642-94331-7vstellensatz for the Weyl algebra. Finally, a theorem about the closedness of the cone of finite sums of hermitian squares in certain .-algebras is proved. For these .-algebras sums of hermitian squares are precisely those elements that are mapped into positive operators under all .-representations.

flimsy 发表于 2025-3-29 10:45:40

-Representations,finite functions on groups are represented in terms of unitary group representations. The chapter ends with a brief discussion of possible pathologies that can occur in unbounded representation theory on Hilbert space.

巧思 发表于 2025-3-29 11:51:18

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魔鬼在游行 发表于 2025-3-29 16:31:14

,Archimedean Quadratic Modules and Positivstellensätze,vstellensatz for the Weyl algebra. Finally, a theorem about the closedness of the cone of finite sums of hermitian squares in certain .-algebras is proved. For these .-algebras sums of hermitian squares are precisely those elements that are mapped into positive operators under all .-representations.

议程 发表于 2025-3-29 21:12:40

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老巫婆 发表于 2025-3-30 00:22:16

https://doi.org/10.1007/978-3-642-94331-7 terms of the phase operator appearing in the polar decomposition of X. The hermitian q-plane and the q-oscillator algebra are treated as important examples of this theory. Finally, .-representations of the real quantum plane are developed.

inculpate 发表于 2025-3-30 04:56:32

https://doi.org/10.1007/978-3-642-48579-4. Then induced representations on “ordinary” Hilbert spaces can be defined and each imprimitivity bimodule of two .-algebras A and B yields an equivalence between .-representations of A and B. Finally, operators and .-representations on Hilbert .-modules are briefly investigated.
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查看完整版本: Titlebook: An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space; Konrad Schmüdgen Textbook 2020 The Editor(s) (if applicable) an