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Proceedings of the American Mathematical Society

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elementary operators on $B(H)$

Authors: Qin Wang and Jinchuan Hou
Journal: Proc. Amer. Math. Soc. 126 (1998), 2083-2088
MSC (1991): Primary 47A10, 47B47
MathSciNet review: 1443414
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Abstract: Let $H$ be an infinite dimensional separable Hilbert space over the complex field. Structure characterizations are given for some elementary operators on $B(H)$ which preserve point spectrum.

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Qin Wang
Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China

Jinchuan Hou
Affiliation: Department of Mathematics, Shanxi Teachers University, Linfen, Shanxi, 041004, People’s Republic of China

Keywords: Hilbert space, elementary operator, point spectrum
Received by editor(s): July 14, 1995
Received by editor(s) in revised form: March 15, 1996, and January 2, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society