Lipschitz Algebras

ISBN: 9789810238735 出版年：1999 页码：238 Nik Weaver World Scientific Publishing Company

Let M be an abelian von Neumann algebra andEan abelian operator M-bimodule. Then the domain of any ultraweakly closed derivation from M intoEis a Lipschitz algebra. Conversely, every Lipschitz algebra can be realized as such a domain. We discuss the relevance of this result to the theory of noncommutative metric spaces.