Involution representation

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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 $A$.


  • [a1] J. Dixmier, "$C^*$ algebras", North-Holland (1977) (Translated from French)
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This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article