@article{oai:ynu.repo.nii.ac.jp:00006750,
 author = {Vasudevan, R. and Goel, Satya and Takahasi, S.},
 issue = {1&2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Let ＄A＄ be a Banach algebra satisfying conditions weaker than having a two-sided bounded approximate identity. Let ＄QM(A)＄ denote the Banach space of all quasi-multipliers on ＄A＄ . We construct a Banach space ＄B_{0}＄ whose conjugate space ＄B_{0}^{*}＄ is a left ＄B_{1}^{*}＄-module and right ＄B_{2}^{*}＄-module under modified Arens product. It is shown that for Banach algebras satisfying this weaker condition, ＄QM(A)＄ can be embedded isometrically isomorphically into ＄B_{0}^{*}＄. We also show that this embedding of ＄QM(A)＄ in ＄B_{0}^{*}＄ is an extension of the embedding of ＄M_{r}(A)(M_{￥ell}(A))＄ the algebra of all right multipliers (algebra of left multipliers) on ＄A＄ in ＄B_{1}^{*}(B_{2}^{*})＄ [6]. It is also shown that if ＄A＄ is a dual ＄A^{*}＄-algebra of the first kind, then ＄QM(A)＄ is isometrically isomorphic to ＄B_{0}^{s}＄ .},
 pages = {49--66},
 title = {THE ARENS PRODUCT AND QUASI-MULTIPLIERS},
 volume = {33},
 year = {1985}
}