Difference between revisions of "Involution representation"
From Encyclopedia of Mathematics
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| − | A representation 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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====References==== | ====References==== | ||
| − | + | * {{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=32624
Involution representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Involution_representation&oldid=32624
This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article