Geodesic
Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.
Studia Mathematica, Tome 137 (1999) no. 2, pp. 169-175

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The convexity and compactness in the weak operator topology of the image and pre-image of a generalized fractional linear transformation is established. As an application the exponential dichotomy of solutions to evolution problems of the parabolic type is proved. 
V. Khatskevich. Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.. Studia Mathematica, Tome 137 (1999) no. 2, pp. 169-175. doi: 10.4064/sm-137-2-169-175
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