Point-spectrum-preserving elementary operators on 𝐵(𝐻)

Wang, Qin; Hou, Jinchuan

doi:10.1090/S0002-9939-98-04313-5

Point-spectrum-preserving elementary operators on $B(H)$
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by Qin Wang and Jinchuan Hou

Proc. Amer. Math. Soc. 126 (1998), 2083-2088

DOI: https://doi.org/10.1090/S0002-9939-98-04313-5

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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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