English

Locally bounded approximate diagonal modulo an ideal of Frechet algebras

Functional Analysis 2019-01-11 v1

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.

Keywords

Cite

@article{arxiv.1901.03178,
  title  = {Locally bounded approximate diagonal modulo an ideal of Frechet algebras},
  author = {Somayeh Rahnama and Ali Rejali},
  journal= {arXiv preprint arXiv:1901.03178},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1901.02180