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
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