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Journal of the London Mathematical Society 1976 s2-14(2):340-344; doi:10.1112/jlms/s2-14.2.340
© 1976 by London Mathematical Society
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© Oxford University Press

Semi-Groups of Subnormal Operators

A. Edward Nussbaum

Washington University St. Louis, Missouri 63130, U.S.A.

A short new proof that every continuous semi-group of subnormal operators in a Hilbert space may be extended to a continuous semi-group of normal operators in a larger Hilbert space is given. As a corollary, the result of Cooper that every continuous semi-group of isometries in a Hilbert space can be extended to a continuous group of unitary operators in a larger Hilbert space is obtained.


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