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2. On a class of real normed lattices
- Creator:
- Alegre, Carmen, Ferrer, Jesús, and Gregori, Valentín
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- barrelled space, convex-Baire space, normed lattice, pairwise Baire spaces, quasi-Baire spaces, and quasi-uniformity
- Language:
- English
- Description:
- We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that $E$ is a quasi-Baire space iff $(E, T({\mathcal U}),T({\mathcal U}^{-1}))$, is a pairwise Baire bitopological space, where $\mathcal U$, is a quasi-uniformity that determines, in $L$. Nachbin’s sense, the topological ordered space $E$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public