Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
In this paper we prove that for every weight on an amenable group there is always a continuous bounded character on that group. Thus we may assume that any weight on an amenable group is always greater than 1. Using a result of N. Grønbæk [1], this implies that the only amenable weighted group algebras are up to isomorphism L1(G)for some amenable group G. A Hahn–Banach type generalisation is given for the extension of bounded characters and examples are given showing that the assumption of amenability is necessary.
Bulletin of the London Mathematical Society – Wiley
Published: Jul 1, 1991
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.