Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
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DOI: 10.1016/j.topol.2017.02.035
Abstract: Abstract The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f -triangle inequality, which is a weakened… read more here.
Keywords: spaces symmetric; properties spaces; symmetric nonsymmetric; topological geometrical ... See more keywords
Approximations of Symmetric Functions on Banach Spaces with Symmetric Bases
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DOI: 10.3390/sym13122318
Abstract: This paper is devoted to studying approximations of symmetric continuous functions by symmetric analytic functions on a Banach space X with a symmetric basis. We obtain some positive results for the case when X admits… read more here.
Keywords: functions banach; banach spaces; spaces symmetric; analytic functions ... See more keywords