Characterizations of Double Commutant Property on BH. (13th August 2021)

• Record Type: Journal Article
• Authors: Chen, Chaoqun; Lu, Fangyan; Cui, Cuimei; Wang, Ling
• Other Names: Gallardo Gutiérrez Eva A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-08-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6654100
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let H be a complex Hilbert space. Denote by B H the algebra of all bounded linear operators on H . In this paper, we investigate the non-self-adjoint subalgebras of B H of the form T + B, where B is a block-closed bimodule over a masa and T is a subalgebra of the masa. We establish a sufficient and necessary condition such that the subalgebras of the form T + B has the double commutant property in some particular cases.