Difference between revisions of "Involution representation"
From Encyclopedia of Mathematics
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| + | A representation $\pi$ of an [[Involution algebra|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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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> J. Dixmier, " | + | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> J. Dixmier, "$C^*$ algebras" , North-Holland (1977) (Translated from French)</TD></TR></table> |
Revision as of 20:32, 31 July 2014
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 $A$.
Comments
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