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Ranges of Lyapunov Transformations for operator algebras
Published online by Cambridge University Press: 18 May 2009
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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
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- Copyright © Glasgow Mathematical Journal Trust 1978