A characterization of normal operators using the Hilbert-Schmidt class
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- by Ritsuo Nakamoto PDF
- Proc. Amer. Math. Soc. 79 (1980), 343-344 Request permission
Abstract:
A bounded linear operator N on a Hilbert space H is normal if and only if $\|NX - XN\|_2 = \|N^* X - X N^*\|_2$ for every X in the Hilbert-Schmidt class.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 343-344
- MSC: Primary 47B15; Secondary 47B10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0565369-3
- MathSciNet review: 565369