Weak* continuous states on Banach algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:350

Article

Magajna, Bojan

关键词: Banach algebra;    Dissipative elements;    Normal states;   

DOI  :  10.1016/j.jmaa.2008.09.072

来源: Elsevier

【 摘 要 】

We prove that if a unital Banach algebra A is the dual of a Banach space A(z) then the set of normal states is weak* dense in the set of all states on A. Further, normal states linearly span A(z). (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free