The Sandwich theorem via Pataraia’s fixed point theorem
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DOI: 10.1007/s11117-018-0595-0
Abstract: The Sandwich theorem (König in Archiv der Mathematik 23:500–1972, 1972) yields the existence of a linear functional sandwiched in between a given superlinear functional and a given sublinear functional. By combining an argument implicit in… read more here.
Keywords: pataraia; theorem; theorem via; sandwich theorem ... See more keywords
Arzelà-Ascoli theorem via the Wallman compactification
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DOI: 10.2989/16073606.2017.1381653
Abstract: Abstract In the paper, we recall the Wallman compactification of a Tychonoff space T (denoted by Wall(T)) and the contribution made by Gillman and Jerison. Motivated by the Gelfand-Naimark theorem, we investigate the homeomorphism between… read more here.
Keywords: compactification; arzel ascoli; ascoli theorem; wallman compactification ... See more keywords