Additive maps between standard operator algebras compressing certain spectral functions |
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| Authors: | Jin Chuan Hou Li Huang |
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| Affiliation: | (1) Department of Mathematics, Shanxi University, Taiyuan, 030000, P. R. China;(2) Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, P. R. China;(3) Department of Mathematics, Shanxi Normal University, Linfen, 041004, P. R. China |
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| Abstract: | We characterize the surjective additive maps compressing the spectral function Δ(·) between standard operator algebras acting
on complex Banach spaces, where Δ(·) stands for any one of nine spectral functions σ(·), σ
l
(·), σ
r
(·), σ
l
(·) ∩ σ
r
(·), ∂∝(·), ησ(·), σ
ap
(·), σ
s
(·), and σ
ap
(·) ∩ σ
s
(·).
This work is supported partially by Natural Science Foundation of China and Grant for Returned Scholars of Shanxi |
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| Keywords: | additive maps standard operator algebras spectral functions isomorphisms |
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