On the boundedness of almost multipliers on certain Banach algebras
Subject Areas : Operator theoryE. Ansari-Piri 1 , M. Shams Yousefi 2 , S. Nouri 3
1 - Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
2 - Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
3 - Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran
Keywords:
Abstract :
[1] E. Ansari-Piri, S. Nouri, Almost multipliers and some of their properties, Preprint.
[2] E. Ansari-Piri, S. Nouri, Stable normed algebra, Priprint.
[3] F. Birtal, Isomorphism and isometric multipliers, Proc. Amer. Math. Soc. (1962), no. 13, 204-210.
[4] B. Host, F. Parreau, Sur un probleme de I. Glicksberg: les ideauxfermes de type ni deM(G), Ann. Inst. Fourier (Grenoble) 28(1978), no.3, 143-164.
[5] S. Helganson, Multipliers of Banach algebras, Ann. Math ,64 (1956), 240-254.
[6] R. Larsen, Theory of Multipliers, Springer, Berlin, 1971.
[7] K. B. Laursen, M. Mbekhta, Closed range multipliers and generalized inverses, Stud. Math. 107 (1993)126-135.
[8] T. Miura, G. Hirasawa, S. Takahasi, Stability of multipliers on Banach algebras, A.M.S. 45 (2004), 2377-2381.
[9] A. Ulger, Multipliers with closed range on commutative semsimple Banach algebras, Stud. Math. 153 (2002), no. 1, 59-80.
[10] J. Wang, Multipliers of commutative Banach algebras, Pacific J. Math, 11(1961), 1131-1149.
[11] Y. Zaiem, Operateurs de convolution d'image femee et unitesapproches, Bull. Sci. Math. 99 (1975), 65-74.