March 30: Good Friday (University Closed)

April 1: Easter Sunday (University Closed)

Fereidoun Ghahramani

Date: | Friday, January 18, 2008 |
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The notion of approximate amenability was introduced in: [F.Ghahramani, and R.J. Loy, Generalized notions of amenability, J. Functional Analysis 208(2004) 229-260]. It was shown there that an approximately amenable Banach algebra has a right and a left approximate identity, but the existence of a two sided approximate identity remained open. Further sufficient results were obtained among the results of the paper [F. Ghahramani, R.J. Loy and Y.Zhang, Generalized notions of amenability, II, J. Functional Analysis, to appear.] In this talk I will show that every boundedly approximately amenable Banach algebra possessing a multiplier bounded left approximate identity and a multiplier bounded right approximate identity has a bounded approximate identity. In particular, every boundedly approximately contractible Banach algebra has a bounded approximate identity. This rules out the possibility of a Banach algebra in any of the following classes to be boundedly approximtely amenable: Fourier algebras of weakly amenable non- amenable groups, proper Segal algebras on locally compact groups,and certain operator algebras. This is joint work with Yemon Choi and Yong Zhang.

Important Dates

March 30: Good Friday (University Closed)

April 1: Easter Sunday (University Closed)

Upcoming Seminars

Colloquium talk:

**Hadrien Montanelli**:
*Pattern formation on the sphere*

Friday, March 23 at 14:30,
418 Machray Hall.

Rings and Modules seminar:

**T. Kucera**:
*Saturated Free Algebras and Almost Indiscernible Theories I*

Tuesday, March 27 at 14:40,
418 Machray Hall.

Colloquium talk:

**James Watmough**:
*Dispersal heterogeneity and the spreading speeds of marine invasions*

Thursday, March 29 at 15:30,
415 Machray Hall.

Rings and Modules seminar:

**T. Kucera**:
*Saturated Free Algebras and Almost Indiscernible Theories II*

Tuesday, April 3 at 14:40,
418 Machray Hall.