On order isomorphisms of norm attainment sets of continuous functions
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DOI: 10.1007/s10474-025-01520-8
Abstract: We provide a method for reconstructing the underlying locally compact Hausdorff space of an algebra of continuous functions vanishing at infinity, using the norm attainment sets of continuous functions. As an application, it is demonstrated… read more here.
Keywords: sets continuous; attainment sets; continuous functions; functions order ... See more keywords
Local Approximation Properties of Sets and Continuous Selections on Them
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Notes"
DOI: 10.1134/s0001434619110361
Abstract: Sets with a continuous selection from the near-best approximation operator are studied and the relationship of such sets with the radial δ-solarity property and with the metric function is discussed. read more here.
Keywords: approximation properties; properties sets; local approximation; continuous selections ... See more keywords