References

SEMISIMPLICITY OF THE SECOND DUAL OF BANACH ALGEBRAS


[1] R. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848.

[2] F. F. Bonsall and J. Duncan, Complete Normed Algebra, Springer-Verlag, New York, 1973.

[3] P. Civin and B. Yood, The second conjugate space of a Banach algebra as an algebra, Pacific J. Math. 11 (1961), 847-870.

[4] H. G. Dales, Banach Algebras and Automatic Continuity, London Mathematical Society Monographs, 2000.

[5] H. G. Dales and A. T. M. Lau, The second duals of Beurling algebras, Mem. Amer. Math. Soc. 177(836) (2005).

[6] F. Ghahramani, R. J. Loy and G. A. Willis, Amenability and weak amenability of second conjugate Banach algebras, Proc. Amer. Math. Soc. 124 (1996), 1489-1497.

[7] C. C. Graham, A B.A.I. proof of the non-Arens regularity of Proc. Amer. Math. Soc. 133 (2004), 163-165.

[8] A. T. M. Lau and A. Ülger, Topological centre of certain dual algebras, Trans. Amer. Math. Soc. 348 (1996), 1191-1212.

[9] A. Sahleh and A. Zivari-Kazempour, Arens regularity of certain class of Banach algebras, Abstract and Applied Analysis (2011), Article ID 680952, 6 pages.

[10] A. Ülger, Arens regularity sometimes implies RNP, Pacific J. Math. 143 (1990), 377-399.

[11] N. J. Young, The irregularity of multiplication in group algebras, Quart. J. Math. 24 (1973), 59-62.