Articles with "automatic continuity" as a keyword



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On the image, characterization, and automatic continuity of $$\varvec{(\sigma }, \varvec{\tau }$$(σ,τ)-derivations

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Published in 2017 at "Archiv der Mathematik"

DOI: 10.1007/s00013-017-1082-8

Abstract: The first main theorem of this paper asserts that any $$(\sigma , \tau )$$(σ,τ)-derivation d, under certain conditions, either is a $$\sigma $$σ-derivation or is a scalar multiple of ($$\sigma - \tau $$σ-τ), i.e. $$d… read more here.

Keywords: tau; varvec; sigma tau; sigma ... See more keywords
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AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS

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Published in 2017 at "Journal of the Institute of Mathematics of Jussieu"

DOI: 10.1017/s1474748017000135

Abstract: We present a general framework for automatic continuity results for groups of isometries of metric spaces. In particular, we prove automatic continuity property for the groups of isometries of the Urysohn space and the Urysohn… read more here.

Keywords: continuity isometry; group; topology; isometries urysohn ... See more keywords