BibTex RIS Cite

Year 2006, Volume: 19 Issue: 1, 15 - 19, 24.03.2010

Hayri Akay Danyal Soybaş

Abstract

References

  • ) Arens, R., ‘‘The adjoint of a bilinear operation’’, Proc. Amer. Math. Soc., 2, 839-848, (1951).
  • ) Hewitt, E. and Ross, K., ‘‘Abstract Harmonic Analysis’’, Volumes I and II, Newyork, (1970).
  • ) Lau, A.T., ‘‘Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups’’, Math. Proc. Camb. Philos. Soc., 99, 273-283, (1986).
  • ) Lau, A.T. and Losert, V., ‘‘The C* algebra generated by operators with compact support on a locally compact group’’, J. Functinal Analysis, 112, 1-30, (1993).
  • ) Lau, A.T. and Ülger, A., ‘‘Topological centers of certain dual algebras’’, Trans. Amer. Math. Soc., 348 (3), 1191-1212, (1996).

On the Topological Centers of Banach Algebras

Year 2006, Volume: 19 Issue: 1, 15 - 19, 24.03.2010

Hayri Akay Danyal Soybaş

Abstract

Let A be a Banach algebra with a bounded approximate identity. Let  and be respectively, the topological centers of the algebras A** and (AA*)* with respect to the second Arens multiplication. In this paper, we show that is isometrically isomorphic to LM(A) , where  is a closed subalgebra of and LM(A) is the set of left multipliers operators of the Banach algebra A.

 

Key words: Topological center, Arens multiplication, Banach algebra, Left multiplier operator

 

Keywords

Topological center Arens multiplication Banach algebra Left multiplier operator

References

  • ) Arens, R., ‘‘The adjoint of a bilinear operation’’, Proc. Amer. Math. Soc., 2, 839-848, (1951).
  • ) Hewitt, E. and Ross, K., ‘‘Abstract Harmonic Analysis’’, Volumes I and II, Newyork, (1970).
  • ) Lau, A.T., ‘‘Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups’’, Math. Proc. Camb. Philos. Soc., 99, 273-283, (1986).
  • ) Lau, A.T. and Losert, V., ‘‘The C* algebra generated by operators with compact support on a locally compact group’’, J. Functinal Analysis, 112, 1-30, (1993).
  • ) Lau, A.T. and Ülger, A., ‘‘Topological centers of certain dual algebras’’, Trans. Amer. Math. Soc., 348 (3), 1191-1212, (1996).
There are 5 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Hayri Akay

Danyal Soybaş

Publication Date March 24, 2010
Published in Issue Year 2006 Volume: 19 Issue: 1

Cite

APA Akay, H., & Soybaş, D. (2010). On the Topological Centers of Banach Algebras. Gazi University Journal of Science, 19(1), 15-19.
AMA Akay H, Soybaş D. On the Topological Centers of Banach Algebras. Gazi University Journal of Science. March 2010;19(1):15-19.
Chicago Akay, Hayri, and Danyal Soybaş. “On the Topological Centers of Banach Algebras”. Gazi University Journal of Science 19, no. 1 (March 2010): 15-19.
EndNote Akay H, Soybaş D (March 1, 2010) On the Topological Centers of Banach Algebras. Gazi University Journal of Science 19 1 15–19.
IEEE H. Akay and D. Soybaş, “On the Topological Centers of Banach Algebras”, Gazi University Journal of Science, vol. 19, no. 1, pp. 15–19, 2010.
ISNAD Akay, Hayri - Soybaş, Danyal. “On the Topological Centers of Banach Algebras”. Gazi University Journal of Science 19/1 (March 2010), 15-19.
JAMA Akay H, Soybaş D. On the Topological Centers of Banach Algebras. Gazi University Journal of Science. 2010;19:15–19.
MLA Akay, Hayri and Danyal Soybaş. “On the Topological Centers of Banach Algebras”. Gazi University Journal of Science, vol. 19, no. 1, 2010, pp. 15-19.
Vancouver Akay H, Soybaş D. On the Topological Centers of Banach Algebras. Gazi University Journal of Science. 2010;19(1):15-9.