A Functional Calculus for Quotient Bounded Operators

Surveys in Mathematics and its Applications

卷:1 (2006)

关键词: Locally convex space;    Functional calculus;   

DOI  :  

来源: DOAJ

【 摘 要 】

If (X, P) is a sequentially locally convex space, then a quotient bounded operator T beloging to Q_P is regular (in the sense of Waelbroeck) if and only if it is a bounded element (in the sense of Allan) of algebra Q_P. The classic functional calculus for bounded operators on Banach space is generalized for bounded elements of algebra Q_P.

【 授权许可】

Unknown