On sublinear quasi-metrics and neighborhoods in locally convex cones

نویسندگان

چکیده

We consider the topological structure of sublinear quasi-metrics in locally convex cones and define notion a quasi-metric cone. The presence upper bounded neighborhoods, gives necessary sufficient conditions for quasi-metrizability cones. In particular, we investigate boundedness separatedness characterize metrizability

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ژورنال

عنوان ژورنال: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2203721y