Geodesic
On sublinear quasi-metrics and neighborhoods in locally convex cones
Filomat, Tome 36 (2022) no. 3, p. 721

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DOI

We consider the topological structure of the sublinear quasi-metrics in locally convex cones and define the notion of a locally convex quasi-metric cone. The presence of upper bounded neighborhoods, gives necessary and sufficient conditions for the quasi-metrizability of locally convex cones. In particular, we investigate the boundedness and separatedness of locally convex quasi-metric cones and characterize the metrizability of locally convex cones
DOI : 10.2298/FIL2203721Y
Classification : 46A03, 54E35
Keywords: Locally convex cones, quasi-metrizability, neighborhoods 
Z Yousefi; M R Motallebi. On sublinear quasi-metrics and neighborhoods in locally convex cones. Filomat, Tome 36 (2022) no. 3, p. 721 . doi: 10.2298/FIL2203721Y
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     author = {Z Yousefi and M R Motallebi},
     title = {On sublinear quasi-metrics and neighborhoods in locally convex cones},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {3},
     doi = {10.2298/FIL2203721Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203721Y/}
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