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Norms of elementary operators |
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| Authors: | Hong-Ke Du Yue-Qing Wang Gui-Bao Gao |
| Affiliation: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China ; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China ; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China |
| Abstract: | Let  and  ,  , be bounded linear operators acting on a separable Hilbert space  . In this note, we prove that  Moreover, we prove that there exists an operator  with  such that  if and only if there exists a unitary  such that   |
| Keywords: | Elementary operator norm-attainability unitary |
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