Difference between revisions of "Involution representation"
From Encyclopedia of Mathematics
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| − | A representation $\pi$ of an [[ | + | A representation $\pi$ of an [[involution algebra]] $A$ by continuous linear operators on a [[Hilbert space]] such that $\pi(x)^*=\pi(x^*)$ for all $x\in A$, where $x^*$ is the image of $x$ under the involution of $A$. |
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| − | + | * {{Ref|a1}} J. Dixmier, "$C^*$ algebras", North-Holland (1977) (Translated from French) | |
Latest revision as of 13:53, 8 April 2023
A representation $\pi$ of an involution algebra $A$ by continuous linear operators on a Hilbert space such that $\pi(x)^*=\pi(x^*)$ for all $x\in A$, where $x^*$ is the image of $x$ under the involution of $A$.
References
- [a1] J. Dixmier, "$C^*$ algebras", North-Holland (1977) (Translated from French)
How to Cite This Entry:
Involution representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Involution_representation&oldid=53662
Involution representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Involution_representation&oldid=53662
This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article