Quotient bounded elements in locally convex algebras

Journal of the Australian Mathematical Society

Subhash J. Bhatt¹ 

关键词: primary 46 H 05;    secondary 46 L 20;   

DOI  :  10.1017/S1446788700017663

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The quotient bounded and the universally bounded elements in a calibrated locally convex algebra are defined and studied. In the case of a generalized B*-algebra A, they are shown to form respectively b* and B*-algebras, both dense in A. An internal spatial characterization of generalized B*-algebras is obtained. The concepts are illustrated with the help of examples of algebras of measurable functions and of continuous linear operators on a locally convex space.

【 授权许可】

Unknown