Compact right multipliers on a Banach algebra related to locally compact semigroups
-
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran
-
Department of Mathematics, Zanjan University, Zanjan, Iran
-
Department of Mathematics, Shiraz University of Technology, Shiraz, 71555-313, Iran
-
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
-
School of Mathematics, Institute for Research in Fundamental Science (IPM), Tehran, P.O. Box: 19395-5746, Iran
Abstract
For a locally compact semigroup S , let L∞0(S,Ma(S)) be the Banach space of all μ-measurable ( μ∈Ma(S) ) functions vanishing at infinity, where Ma(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,Ma(S))∗ equipped with an Arens product.
Keywords: Arens product, Compact operator, Right multiplier, Locally compact semigroups.