On Bounded Operators on a Banach Space and Derivations on Projective Tensor Algebras - NZJM

New Zealand Journal of Mathematics

关键词: Shrinking basis of a Banach space.Associated sequence of coefficient functionals. Projective tensor product ofBanach spaces.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

We consider a Banach spaceendowed with a shrinking basis. Thenwe describe the structure of derivations on the projective Banach algebra which areinduced by bounded linear operators on . If the underlying spacehas no such basis our results are no longer applicable. However, if is the space of absolutely convergent complex series weestablish a relationship between bounded derivations onand bounded derivations on

【 授权许可】

Unknown