All-derivable points in continuous nest algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:340

Article

Zhu, Jun¹  Xiong, Changping¹ 

[1] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China

关键词: all-derivable point;    nest algebra;    derivable linear mapping at G;   

DOI  :  10.1016/j.jmaa.2007.08.055

来源: Elsevier

【 摘 要 】

Let A be an operator algebra on a Hilbert space. We say that an element G is an element of A is an all-derivable point of A for the strong operator topology if every strong operator topology continuous derivable linear mapping phi at G (i.e. phi(ST) = phi(S)T + S phi(T) for any S, T is an element of algN with ST = G) is a derivation. Let N be a continuous nest on a complex and separable Hilbert space H. We show in this paper that every orthogonal projection operator P (M) (0 not equal M is an element of N) is an all-derivable point of algN for the strong operator topology. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free