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Factorization of hyponormal operators

Published online by Cambridge University Press:  09 April 2009

Mary R. Embry
Mary R. Embry
Affiliation:
University of North Carolina at Charlotte
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In [1]R. G. Douglas proved that if A and B are continuous linear operators on a Hilbert space X, the following three conditions are equivalent:

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 3 , May 1972 , pp. 323 - 326
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Douglas, R. G., ‘On majorization, factorization, and range inclusion of operators on Hilbert space’, Proc. Amer. Math. Soc. 17 (1966), 413–415.CrossRefGoogle Scholar
[2]Halmos, P. R., A Hilbert Space Problem Book (Van Nostrand, Princeton, N.J. 1967).Google Scholar