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arxiv: 1901.03178 · v1 · pith:LP64ARO5new · submitted 2019-01-08 · 🧮 math.FA

Locally bounded approximate diagonal modulo an ideal of Frechet algebras

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keywords moduloapproximateboundedidealdiagonallocallyalgebrafrechet
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For a Banach algebra A and a closed ideal I, the notion of bounded approximate diagonal modulo I has been studied and investigated. In this paper we define the notion of locally bounded approximate diagonal modulo an ideal I for a Frechet algebra A and obtain the relation between amenability modulo an ideal I and the existence of locally bounded approximate diagonals modulo I.

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