Compact right multipliers on a Banach algebra related to locally compact semigroups

摘要

For a locally compact semigroup S, let L∞_0(S, M_a(S)) be the Banach space of all μ-measurable (μ∈M_a(S)) functions vanishing at infinity, where M_a(S) denotes the algebra of all measures in the measure algebra M(S) of S with continuous translations. Here, we study right compact multipliers on the Banach algebra L∞_0(S, M_a(S))* equipped with an Arens product.