Derivable mappings at unit operator on nest algebras

作者：Zhu Jun^*; Xiong Changping

来源：Linear Algebra and Its Applications, 2007, 422(2-3): 721-735.

DOI：10.1016/j.laa.2006.12.002

• nest algebra
• derivable mappings at the unit operator
• inner derivation

Let A be an operator subalgebra with the unit operator I in B(H). We say that a linear mapping phi from A into itself is a derivable mapping at I if phi(ST) = phi(S)T + S phi(T) for any S, T is an element of A with ST = I. In this paper, we show the following main result: every strongly operator topology continuous derivable mapping at I on a nest algebra alg.,/r is an inner derivation.

• 出版日期2007-4-15
• 单位杭州电子科技大学