Locally bounded approximate diagonal modulo an ideal of Frechet algebras

2019/01/08 by Somayeh Rahnama, Rahnama, Somayeh, Ali Rejali +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.1901.03178

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.

Related

• Amenability modulo an ideal of Frechet algebras
• Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities
• Strictly flat cyclic Fréchet modules and approximate identities
• Ideal and weak Amenability of Fréchet locally C^*-algebra
• n-ideal and n-weak amenability of Frechet algebras