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(σ, σ)-DERIVATION AND (σ, τ )-WEAK AMENABILITY OF BEURLING ALGEBRA

Lin Chen|Jianhua Zhang
대한수학회 (The Korean Mathematical Society)|2021.09|대한수학회보 (Bulletin of the KMS)|제58권 제5호|pp. 1209-1219|DOI 10.4134/BKMS.b200873

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키워드

(σσ)-derivationτ)-weak amenabilityBeurling algebras
주제분류수학

초록

Let G be a topological group with a locally compact and Hausdorff topology. Let ω be a diagonally bounded weight on G. In this paper, (σ, σ)-derivation and (σ, τ)-weak amenability of the Beurling algebra L1 ω(G) are studied, where σ, τ are isometric automorphisms of L1 ω(G). We prove that every continuous (σ, σ)-derivation from L1 ω(G) into measure algebra Mω(G) is (σ, σ)-inner and the Beurling algebra L1 ω(G) is (σ, τ)-weakly amenable.

Abstract

Let G be a topological group with a locally compact and Hausdorff topology. Let ω be a diagonally bounded weight on G. In this paper, (σ, σ)-derivation and (σ, τ)-weak amenability of the Beurling algebra L1 ω(G) are studied, where σ, τ are isometric automorphisms of L1 ω(G). We prove that every continuous (σ, σ)-derivation from L1 ω(G) into measure algebra Mω(G) is (σ, σ)-inner and the Beurling algebra L1 ω(G) is (σ, τ)-weakly amenable.

참고문헌 (22)

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