Journal of Operator Theory

Volume 39, Issue 2, Spring 1998 pp. 207-217.

Rank preserving maps on nest algebras

Authors: Shu-Yun Wei

$1$ , and Sheng-Zhao Hou

$2$
Author institution:

$1$ Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China

$2$ Department of Mathematics, Shanxi Teachers University, Linfen, Shanxi, 041004, P.R. China

Summary: In this paper, a complete description of all weakly continuous rank-preserving linear maps on nest algebras is given. As an application, we get some results concerning local automorphisms of nest algebras.

Keywords: Nest, nest algebra, K-rank preserving linear map

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