Geodesic
A Note on Multiplier Operators and Dual B*-Algebras
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 563-565

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a complex Banach algebra without order. Following Kellogg [4] and Ching and Wong [2], a mapping T of A into itself is called a right (left) multiplier on A if T(ab)=(Ta)b(T(ab)=a(Tb)) for all a, b in A. T is said to be a multiplier on A if it is both a right and left multiplier on A. Let M(A)(RM(A), LM(A)) be the set of all (right, left) multipliers on A. 
Rowlands, K. A Note on Multiplier Operators and Dual B*-Algebras. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 563-565. doi: 10.4153/CMB-1974-100-x
@article{10_4153_CMB_1974_100_x,
     author = {Rowlands, K.},
     title = {A {Note} on {Multiplier} {Operators} and {Dual} {B*-Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {563--565},
     year = {1974},
     volume = {17},
     number = {4},
     doi = {10.4153/CMB-1974-100-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-100-x/}
}
TY  - JOUR
AU  - Rowlands, K.
TI  - A Note on Multiplier Operators and Dual B*-Algebras
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 563
EP  - 565
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-100-x/
DO  - 10.4153/CMB-1974-100-x
ID  - 10_4153_CMB_1974_100_x
ER  - 
%0 Journal Article
%A Rowlands, K.
%T A Note on Multiplier Operators and Dual B*-Algebras
%J Canadian mathematical bulletin
%D 1974
%P 563-565
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-100-x/
%R 10.4153/CMB-1974-100-x
%F 10_4153_CMB_1974_100_x

[1] 1. Bonsall, F. and Goldie, A. W., Annihilator algebras, Proc. London Math. Soc. (3) 4 (1954), 154-167. Google Scholar

[2] 2. Ching, Wai-Mee and Wong, J. S. W., Multipliers andH*-algebras, Pacific J. Math. 22 (1967), 387-396. Google Scholar

[3] 3. Johnson, B. E., An introduction to the theory of centralizers, Proc. London Math. Soc. (3) 14 (1964), 299-320. Google Scholar

[4] 4. Kellogg, C. N., Centralizers and H*-algebras, Pacific J. Math. 17 (1966), 121-129. Google Scholar

[5] 5. Malviya, B. D. and Tomiuk, B. J., Multiplier operators on B*-algebras, Proc. Amer. Math. Soc. 31 (1972), 505-510. Google Scholar

[6] 6. Naimark, M. A., Normed rings, Noordhoff, Groningen, 1959. Google Scholar

[7] 7. Rickart, C. E., General theory of Banach algebras, Van Nostrand, New York, 1960. Google Scholar

[8] 8. Taylor, D. C., The strict topology for double centralizer algebras, Trans. Amer. Math. Soc. 150 (1970), 633-643. Google Scholar

Cité par Sources :