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Completely rank nonincreasing linear maps on nest algebras |
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| Authors: | Jinchuan Hou Jianlian Cui |
| Institution: | Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People's Republic of China ; School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China |
| Abstract: | In this paper, the completely rank nonincreasing bounded linear maps on nest algebras acting on separable Hilbert spaces are characterized, and an affirmative answer to a problem posed by Hadwin and Larson is given for the case of such nest algebras. |
| Keywords: | Nest algebras rank linear maps |
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