on φ-connes amenability of dual banach algebras

نویسندگان

a mahmoodi

department of mathematics, islamic azad university, central tehran branch, tehran, iran.

چکیده

let φ be a w  -continuous homomorphism from a dual banach algebra to c. the notion of φ-connes amenability is studied and some characterizations is given. a type of diagonal for dual banach algebras is de ned. it is proved that the existence of such a diagonal is equivalent to φ-connes amenability. it is also shown that φ-connes amenability is equivalent to so-called φ-splitting of a certain short exact sequence.

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عنوان ژورنال:
journal of linear and topological algebra (jlta)

جلد ۳، شماره ۰۴، صفحات ۲۱۱-۲۱۷

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