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LIFTING DERIVATIONS AND n-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA
Published online by Cambridge University Press: 26 November 2010
Abstract
We show that for n≥2, n-weak amenability of the second dual 𝒜** of a Banach algebra 𝒜 implies that of 𝒜. We also provide a positive answer for the case n=1, which sharpens some older results. Our method of proof also provides a unified approach to give short proofs for some known results in the case where n=1.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 122 - 129
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2010
Footnotes
This research was supported by a grant from Ferdowsi University of Mashhad (No. MP88107VIS).
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