Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.
Volume 137 / 1999
Studia Mathematica 137 (1999), 169-175
DOI: 10.4064/sm-137-2-169-175
Abstract
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.
