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ASYMMETRIC NORMED BAIRE SPACE

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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Preprints, Working Papers, ...
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https://hal-paris1.archives-ouvertes.fr/hal-03223430
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Monday, May 10, 2021 - 11:29:13 PM
Last modification on : Friday, May 6, 2022 - 4:50:07 PM
Long-term archiving on: : Wednesday, August 11, 2021 - 8:17:07 PM

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Asymmetric-Baire.pdf
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  • HAL Id : hal-03223430, version 1
  • ARXIV : 2105.04862

Citation

Mohammed Bachir. ASYMMETRIC NORMED BAIRE SPACE. 2021. ⟨hal-03223430v1⟩

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