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Ranges of Lyapunov transformations for Hilbert space

Published online by Cambridge University Press:  18 May 2009

J. Kyle
J. Kyle
Affiliation:
Department of Mathematics, University of Technology, Loughborough.
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Interest in the ranges of Lyapunov transformations began with Taussky in [5]. Recently in a series of papers, Loewy has studied the ranges of Lyapunov transformations on matrices. In particular in [2] and [3], the following result was obtained.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 99 - 101
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

REFERENCES

1. Kadison, R. V., Isometries of operator algebras, Ann. of Math. 54 (1951), 325–338.CrossRefGoogle Scholar
2. Loewy, R., On ranges of Lyapunov transformations IV, Glasgow Math. J. 17 (1976), 112–118.CrossRefGoogle Scholar
3. Loewy, R., On ranges of Lyapunov transformation III, S.I.A.M. J. Appl. Math. 30 (1976), 687–702.CrossRefGoogle Scholar
4. Sakai, S., C*-algebras and W*-algebras (Springer-Verlag, 1971).Google Scholar
5. Taussky, O., Matrix theory research problem, Bull. Amer. Math. Soc. 71 (1965), 711.Google Scholar