IJPAM: Volume 46, No. 4 (2008)

CHARACTERIZATION OF THE GENERATORS OF NORM
PRINCIPAL RADICAL IDEAL OF NEST ALGEBRAS

Xunxiang Guo
Department of Mathematics and Computer Science
Gannan Normal University
Gan Zhou, Jiang Xi, 341000, P.R. CHINA
e-mail: guoxunxiang@yahoo.com


Abstract.Let $\mathcal{N}$ be complete nest of separable Hilbert space $H$, $\mbox{\rm alg}\mathcal{N}$ be the nest algebra respect to nest $\mathcal{N}$, we characterize the generator of Jacobson radical $R_{\mathcal{N}}$ in several cases when it is a norm closed principal ideal of nest algebra $\mbox{\rm alg}\mathcal{N}$.

Received: February 20, 2007

AMS Subject Classification: 47B35

Key Words and Phrases: Hilbert space, complete nest, nest algebra, generator, Jacobson radical

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 4