Some characterizations of Hermitian operators and related classes of operators. I
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- by Che Kao Fong and Vasile I. Istrฤลฃescu PDF
- Proc. Amer. Math. Soc. 76 (1979), 107-112 Request permission
Abstract:
It is shown that, among other things, an operator T is hermitian if and only if $|T{|^2} \leqslant {(\operatorname {Re} T)^2}$. Also, the class of those operators T satisfying $|T{|^2} \geqslant {(\operatorname {Re} T)^2}$ is investigated.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 107-112
- MSC: Primary 47B20
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534398-X
- MathSciNet review: 534398