### MODULE EXTENSION OF DUAL BANACH ALGEBRAS

• 투고 : 2008.12.08
• 발행 : 2010.07.31
• 24 4

#### 초록

This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the $weak^*$-continuous derivations on the module extension of dual Banach algebras and also the weak Connes-amenability of such Banach algebras.

#### 키워드

derivation;Connes-amenable

#### 참고문헌

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8. V. Runde, Lectures on Amenability, Springer-Verlage, Berlin, Hedinberg, New York, 2002.
9. W. Rudin, Functional Analysis: second edition, Mcgraw-Hill, 1991.
10. S.Wassermann, On tensor products of certain group $C^{\ast}-algebras$, J. Functional Analysis 23 (1976), no. 3, 239–254. https://doi.org/10.1016/0022-1236(76)90050-1
11. Y. Zhang, Weak amenability of module extensions of Banach algebras, Trans. Amer. Math. Soc. 354 (2002), no. 10, 4131–4151. https://doi.org/10.1090/S0002-9947-02-03039-8
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#### 피인용 문헌

1. Arens regularity of module actions and weak amenability of Banach algebras vol.71, pp.2, 2015, https://doi.org/10.4134/BKMS.2010.47.4.663

#### 과제정보

연구 과제 주관 기관 : Semnan University