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ASYMMETRIC NORMED BAIRE SPACE

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Abstract

We prove that an asymmetric normed space is never a Baire space if the topology induced by the asymmetric norm is not equivalent to the topology of a norm. More precisely, we show that a biBanach asymmetric normed space is a Baire space if and only if it is isomorphic to its associated normed space.
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Dates and versions

hal-03223430 , version 1 (10-05-2021)
hal-03223430 , version 2 (30-05-2021)

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Mohammed Bachir. ASYMMETRIC NORMED BAIRE SPACE. 2021. ⟨hal-03223430v2⟩
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