arXiv Analytics

Sign in

arXiv:math/0401122 [math.FA]AbstractReferencesReviewsResources

A note on non-amenability of B(\ell_p) for p=1,2

Narutaka Ozawa

Published 2004-01-12Version 1

This is an expository note on non-amenabilty of the Banach algebra B(\ell_p) for p=1,2. These were proved respectively by Connes (p=2) and Read (p=1) via very different methods. We give a single proof which reproves both.

Comments: 9 pages
Categories: math.FA
Subjects: 46H20, 46B07
Related articles: Most relevant | Search more
arXiv:0708.4029 [math.FA] (Published 2007-08-29)
Ultrapowers of Banach algebras and modules
arXiv:1007.1651 [math.FA] (Published 2010-07-09)
The higher duals of certain class of Banach algebras
arXiv:0907.3984 [math.FA] (Published 2009-07-23, updated 2010-03-20)
B(l^p) is never amenable