Geodesic
Barreledness in locally convex direct sum cones
Filomat, Tome 36 (2022) no. 20, p. 6923

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DOI

We investigate the direct sum of barrel subsets in locally convex cones and present necessary and sufficient conditions for the barrelness of subsets in direct sum cones. This leads us to prove a direct sum locally convex cone topology is barreled if and only if its components are barreled.
DOI : 10.2298/FIL2220923M
Classification : 46A03, 46A08, 20K25
Keywords: Locally convex cones, barreledness, direct sums 
M R Motallebi. Barreledness in locally convex direct sum cones. Filomat, Tome 36 (2022) no. 20, p. 6923 . doi: 10.2298/FIL2220923M
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     author = {M R Motallebi},
     title = {Barreledness in locally convex direct sum cones},
     journal = {Filomat},
     pages = {6923 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220923M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220923M/}
}
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