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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some characterizations of Hermitian operators and related classes of operators. I


Authors: Che Kao Fong and Vasile I. Istrăţescu
Journal: Proc. Amer. Math. Soc. 76 (1979), 107-112
MSC: Primary 47B20
MathSciNet review: 534398
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Abstract: It is shown that, among other things, an operator T is hermitian if and only if $ \vert T{\vert^2} \leqslant {(\operatorname{Re} T)^2}$. Also, the class of those operators T satisfying $ \vert T{\vert^2} \geqslant {(\operatorname{Re} T)^2}$ is investigated.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0534398-X
PII: S 0002-9939(1979)0534398-X
Keywords: Hermitian operator, hyponormal operator, real part of an operator, class (WN), spectrum
Article copyright: © Copyright 1979 American Mathematical Society