Locally bounded approximate diagonal modulo an ideal of Frechet algebras

Abstract

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.

arXiv admin note: text overlap with arXiv:1901.02180