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Gleason Parts and Weakly Compact Homomorphismsbetween Uniform Banach Algebras

✍ Scribed by Pablo Galindo; Mikael Lindström

Publisher
Springer Vienna
Year
1999
Tongue
English
Weight
147 KB
Volume
128
Category
Article
ISSN
0026-9255

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Amenable and Weakly Amenable Banach Alge
Amenable and Weakly Amenable Banach Algebras with Compact Multiplication
✍ R.J. Loy; C.J. Read; V. Runde; G.A. Willis 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 324 KB

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.