Quasi-multipliers on lattices

We investigate the extent to which the study of quasi-multipliers can be made beyond Banach algebras. We will focus mainly on the class of ℓ􀀀algebras. We provethat, for a Banach ℓ􀀀algebra A with an ultra approximate identity, the space ℓQM(A) of all order continuous ℓ􀀀quasi-multipliers on A is a Banach f􀀀algebra. We establishthe relationship between the space of all ℓ􀀀quasi-multipliers and ℓ􀀀multiplierson on a Dedekind complete ℓ􀀀algebra A by a positive algebraic lattice isomorphism.

کلیدواژه ها:

Quasi-multiplier ، multiplier ، ℓ􀀀space ، Banach ℓ􀀀algebra