Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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(𝜑, 𝜓)-BIFLAT AND 𝜑, 𝜓)-AMENABLE BANACH ALGEBRAS

  • Received : 2019.01.12
  • Accepted : 2019.03.12
  • Published : 2019.12.25
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Abstract

The article studies the concept of a (𝜑, 𝜓)-biflat and (𝜑, 𝜓)-amenable Banach algebra A, where 𝜑 is a continuous homomorphism on A and 𝜓 ∈ ΦA. We show if A has a (𝜑, 𝜓)-virtual diagonal, then A is (𝜑, 𝜓)- biflat. In the case where 𝜑(A) is commutative we prove that (𝜑, 𝜓)- biflatness of A implies that A has a (𝜑, 𝜓)-virtual diagonal.

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References

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