Quasimultipliers on -Algebras | Zendy

Marjan Adib | Zendy; Abdolhamid Riazi | Zendy; Liaqat Ali Khan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Quasimultipliers on -Algebras

Author(s) -

Marjan Adib,

Abdolhamid Riazi,

Liaqat Ali Khan

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/235273

Subject(s) - mathematics , counterexample , regular polygon , class (philosophy) , pure mathematics , algebra over a field , division algebra , algebra representation , focus (optics) , jordan algebra , normed algebra , banach algebra , discrete mathematics , banach space , physics , geometry , artificial intelligence , computer science , optics

We investigate the extent to which the study of quasimultiplierscan be made beyond Banach algebras. We will focus mainly on the class of -algebras, in particular on complete -normed algebras, 0<≤1, not necessarilylocally convex. We include a few counterexamples to demonstrate that some ofour results do not carry over to general -algebras. The bilinearity and joint continuity of quasimultipliers on an -algebra are obtained under the assumption of strong factorability. Further, we establish several properties of the strict andquasistrict topologies on the algebra () of quasimultipliers of a complete-normed algebra having a minimal ultra-approximate identity

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research