Open Access
2011 Quasimultipliers on F -Algebras
Marjan Adib, Abdolhamid Riazi, Liaqat Ali Khan
Abstr. Appl. Anal. 2011: 1-30 (2011). DOI: 10.1155/2011/235273


We investigate the extent to which the study of quasimultipliers can be made beyond Banach algebras. We will focus mainly on the class of F -algebras, in particular on complete k -normed algebras, $0\lt k\le 1$, not necessarily locally convex. We include a few counterexamples to demonstrate that some of our results do not carry over to general F -algebras. The bilinearity and joint continuity of quasimultipliers on an F -algebra A are obtained under the assumption of strong factorability. Further, we establish several properties of the strict and quasistrict topologies on the algebra Q M ( A ) of quasimultipliers of a complete k -normed algebra A having a minimal ultra-approximate identity.


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Marjan Adib. Abdolhamid Riazi. Liaqat Ali Khan. "Quasimultipliers on F -Algebras." Abstr. Appl. Anal. 2011 1 - 30, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1230.46042
MathSciNet: MR2784382
Digital Object Identifier: 10.1155/2011/235273

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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