✦ LIBER ✦

Amenable and Weakly Amenable Banach Algebras with Compact Multiplication

✍ Scribed by R.J. Loy; C.J. Read; V. Runde; G.A. Willis

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 324 KB
Volume: 171
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3533

No coin nor oath required. For personal study only.

✦ Synopsis

We investigate amenable and weakly amenable Banach algebras with compact multiplication. Any amenable Banach algebra with compact multiplication is biprojective. As a consequence, every semisimple such algebra which has the approximation property is a topological direct sum of full matrix algebras. In the radical case no such structure theorem is at hand. We also investigate Banach algebras which have

📜 SIMILAR VOLUMES

Weak Amenability of Banach Algebras on L

Weak Amenability of Banach Algebras on Locally Compact Groups

✍ A.T.-M. Lau; R.J. Loy 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Recent work by various authors has considered the implications of Banach algebra amenability for various algebras defined over locally compact groups, one of the basic tools being the fact that a continuous homomorphic image of an amenable algebra is again amenable. In the present paper we look at t

Banach Algebra Structure and Amenability

Banach Algebra Structure and Amenability of a Class of Matrix Algebras with Applications

✍ G.H. Esslamzadeh 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 163 KB

We introduce a new category of Banach algebras, l 1 -Munn algebras which we use as a tool in the study of semigroup algebras. Then we characterize amenable l 1 -Munn algebras and also semisimple ones in this category. Applying these results to the semigroup algebras provides some characterizations o

Arens multiplication on Banach algebras

Arens multiplication on Banach algebras related to locally compact semigroups

✍ S. Maghsoudi; R. Nasr–Isfahani; A. Rejali 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB

Let S be a locally compact semigroup, let ω be a weight function on S, and let Ma(S, ω) be the weighted semigroup algebra of S. Let L ∞ 0 (S; Ma(S, ω)) be the C \* -algebra of all Ma(S, ω)-measurable functions g on S such that g/ω vanishes at infinity. We introduce and study an Arens multiplication

Module Homomorphisms and Topological Cen

Module Homomorphisms and Topological Centres Associated with Weakly Sequentially Complete Banach Algebras

✍ John Baker; Anthony To-Ming Lau; John Pym 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 343 KB

This paper is a contribution to the theory of weakly sequentially complete Banach algebras A. We require them to have bounded approximate identities and, for the most part, to be ideals in their second duals, so that examples are the group algebras L 1 (G) for compact groups G or the Fourier algebra