caa a22 4500 386307776 CHVBK 20180307111535.0 cr unu---uuuuu 161130e198812 xx s 000 0 eng 10.1017/S1446788700031013 doi S1446788700031013 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700031013 Composition operators on weighted spaces of continuous functions [Elektronische Daten] We give algebraic criteria for distinguishing composition operators among all continuous linear operators on spaces of continuous functions with topologies generated by seminorms that are weighted analogues of the supremum norm. In another direction, we also characterize those self maps of the underlying topological space which induce composition operators on such weighted spaces, as well as determine conditions on these self maps which correspond to various basic properties of the induced composition operator. Our results are applied to a question concerning translation invariance which arises in the context of topological dynamics. Copyright © Australian Mathematical Society 1988 47 B 38 nationallicence Singh R. K. Department of Mathematics, University of Jammu, Jammu-180 001, India Summers W. H. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, U.S.A. Journal of the Australian Mathematical Society Cambridge University Press 45/3(1988-12), 303-319 1446-7887 45:3<303 1988 45 JAZ https://doi.org/10.1017/S1446788700031013 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700031013 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Singh R. K. Department of Mathematics, University of Jammu, Jammu-180 001, India NATIONALLICENCE 700 1- Summers W. H. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, U.S.A NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 45/3(1988-12), 303-319 1446-7887 45:3<303 1988 45 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge