Abstract
In this paper, we demonstrate under some general assumptions, that a generator of any uniformly bounded composition operator, mapping spaces of bounded variation (Waterman) functions into other spaces of this type, must be an affine function in the functional variable.
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Supported by CDCHTA of Universidad de Los Andes under the Project NURR-C-584-15-05-B Partially funded by the Decanato de Investigación-Universidad Nacional Experimental del Táchira, under the Project 04-016-2015.
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Aziz, W., Ereú, T. & Guerrero, J.A. Uniformly Bounded Composition Operators on the Space of Bounded Variation Functions in the Sense of Waterman. Mediterr. J. Math. 13, 4305–4320 (2016). https://doi.org/10.1007/s00009-016-0746-0
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DOI: https://doi.org/10.1007/s00009-016-0746-0