Pointwise (Approximate) Versions of Amenability and Connes Amenability with Application over some Algebras

Seyyed Ali Kazemipour  and Amin Mahmoodi nbsp

doi:10.17485/ijst/2015/v8i36/87642

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Pointwise (Approximate) Versions of Amenability and Connes Amenability with Application over some Algebras

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i36/87642

Year: 2015, Volume: 8, Issue: 36, Pages: 1-7

Original Article

Pointwise (Approximate) Versions of Amenability and Connes Amenability with Application over some Algebras

Seyyed Ali Kazemipour^* and Amin Mahmoodi

Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
[email protected], [email protected], [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Suppose A is a presumably if intransitive commutative Banach algebra in its second dual A**. The paper studied several weaker definitions on amenability, Connes amenability including quotient pointwise amenability and approximate Connes amenability. Furthermore, the relations between them were discussed.
Keywords: Amenability, Connes Amenability, Pointwise Amenability, Quotient Banach Algebras, w*-Approximately Connes Amenability