Browse > Article
http://dx.doi.org/10.7468/jksmeb.2018.25.2.171

BIPROJECTIVITY OF MATRIX BANACH ALGEBRAS WITH APPLICATION TO COMPACT GROUPS  

Habibian, Fereidoun (Faculty of mathematics, statistics and computer science, Semnan University)
Noori, Razieh (Faculty of mathematics, statistics and computer science, Semnan University)
Publication Information
The Pure and Applied Mathematics / v.25, no.2, 2018 , pp. 171-180 More about this Journal
Abstract
In this paper, the necessary and sufficient conditions are considered for biprojectivity of Banach algebras $E_p(I)$. As an application, we investigate biprojectivity of convolution Banach algebras A(G) and $L^2(G)$ on a compact group G.
Keywords
Banach algebra; biprojective; compact group;
Citations & Related Records
연도 인용수 순위
  • Reference
1 H.G. Dales: Banach Algebras and Automatic Continuity. London Math. Soc. Monogr. Ser. Princeton Univ. Press, Princeton, 2000.
2 G.B. Folland: A course in abstract harmonic analysis. CRC Press, Tokyo, 1970.
3 I.C. Gohberg & M.G. Krein: Introduction to the theory of linear non-selfadjoint operators on Hilbert spaces. Amer. Math. Soc. Transl. Ser. 2, 1965.
4 E. Hewitt & K.A.E. Ross: Abstract harmonic analysis. Vol. II, Springer, Berlin, 1970.
5 M. Lashkarizadeh Bami & H. Samea: Amenability and essential amenability of certain Banach algebras. Studia Sci. Math. Hungar. 44 (2007), no. 3, 377-390.   DOI
6 C.C. Moore: Groups with finite dimensional irreducible representations. Trans. Amer. Math. Soc. 166 (1972), 401-410.   DOI
7 V. Runde: Lectures on amenability. Lecture Notes in Math. Vol. 1774, Springer, Heidelberg, 2002.
8 H. Samea: Derivations on matrix algebras with applications to harmonic analysis. Taiwanese J. Math. 15 (2011), no. 6, 2667-2687.   DOI