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DERIVATIONS OF FRÉCHET NUCLEAR GB$^{\ast }$-ALGEBRAS
Published online by Cambridge University Press: 04 June 2015
Abstract
It is an open question whether every derivation of a Fréchet GB$^{\ast }$-algebra $A[{\it\tau}]$ is continuous. We give an affirmative answer for the case where $A[{\it\tau}]$ is a smooth Fréchet nuclear GB$^{\ast }$-algebra. Motivated by this result, we give examples of smooth Fréchet nuclear GB$^{\ast }$-algebras which are not pro-C$^{\ast }$-algebras.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 290 - 301
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
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