Antisymmetry and contractive representations of function algebras

Szymański, Waclław

doi:10.1090/S0002-9939-1978-0507332-5

Antisymmetry and contractive representations of function algebras
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by Waclław Szymański PDF

Proc. Amer. Math. Soc. 72 (1978), 319-326 Request permission

Erratum: Proc. Amer. Math. Soc. 76 (1979), 358-359.

Abstract:

In the present paper the antisymmetry of the image of a function algebra under its contractive representation is characterized. A complete solution of this problem is obtained for subnormal contractive representations. Some applications, in particular, to the von Neumann functional calculus, are given.

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Antisymmetric operator algebras