Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

‎Bounded approximate connes-amenability of dual Banach algebras

Document Type : Research Paper

Author
Islamic Azad University, Central Tehran Branch
Abstract
 We study the notion of bounded approximate Connes-amenability for‎
‎dual Banach algebras and characterize this type of algebras in terms‎
‎of approximate diagonals‎. ‎We show that bounded approximate‎
‎Connes-amenability of dual Banach algebras forces them to be unital‎.
‎For a separable dual Banach algebra‎, ‎we prove that bounded‎
‎approximate Connes-amenability implies sequential approximate‎
‎Connes-amenability‎.‎
Keywords
Subjects

Volume 41, Issue 1 - Serial Number 1
February 2015
Pages 227-238

  • Receive Date 31 May 2012
  • Revise Date 03 September 2013
  • Accept Date 03 January 2014