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Diameter preserving maps on function spaces

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In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators.… Click to show full abstract

In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators. We provide an example which shows that our assumptions are not redundant.

Keywords: maps function; diameter preserving; preserving maps; function spaces

Journal Title: Positivity
Year Published: 2017

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