Geodesic
Ranges of Lyapunov transformations for Hilbert space
Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 99-101

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Kyle, J. Ranges of Lyapunov transformations for Hilbert space. Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 99-101. doi: 10.1017/S0017089500003438
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[1] 1. Kadison, R. V., Isometries of operator algebras, Ann. of Math. 54 (1951), 325–338. Google Scholar | DOI

[2] 2. Loewy, R., On ranges of Lyapunov transformations IV, Glasgow Math. J. 17 (1976), 112–118. Google Scholar | DOI

[3] 3. Loewy, R., On ranges of Lyapunov transformation III, S.I.A.M. J. Appl. Math. 30 (1976), 687–702. Google Scholar | DOI

[4] 4. Sakai, S., C*-algebras and W*-algebras (Springer-Verlag, 1971). Google Scholar

[5] 5. Taussky, O., Matrix theory research problem, Bull. Amer. Math. Soc. 71 (1965), 711. Google Scholar

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