Ranges of Lyapunov Transformations for operator algebras
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 129-134

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

In this paper we shall extend results obtained in [5] to the W*-algebra setting.Let be a C*-algebra and let + denote the set of positive elements in . Given a fixed element A in , the Lyapunov transformation LA corresponding to A is the mapping of into itself which sends X to AX+XA*. We are interested in characterizing those Bin for which
Kyle, J. Ranges of Lyapunov Transformations for operator algebras. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 129-134. doi: 10.1017/S0017089500003517
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[1] 1.Gleason, A. M., Projective topological spaces, Illinois J. Math. 2 (1958) 482–489. Google Scholar | DOI

[2] 2.Glimm, J. G., A Stone-Weierstrass theorem for C*-algebras, Ann. of Math. 72 (1960) 216–244. Google Scholar | DOI

[3] 3.Halpern, H., Irreducible module homomorphisms of a von Neumann algebra into its centre, Trans. Amer. Math. Soc. 140 (1969) 195–221. Google Scholar | DOI

[4] 4.Kyle, J., Norms, spectra and numerical ranges of derivations, Ph.D thesis, University of Newcastle upon Tyne (1974). Google Scholar

[5] 5.Kyle, J., Ranges of Lyapunov transformations for Hilbert space, Glasgow Math. J. 19 (1978) 99–101. Google Scholar | DOI

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

[7] 7.Loewy, R., On ranges of Lyapunov transformations III, SLAM J. Appl. Math., 30 (1976) 687–702. Google Scholar | DOI

[8] 8.Takeda, Z., Conjugate spaces of operator algebras, Proc. Japan. Acad. 28 (1954) 90–95. Google Scholar

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