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In this paper, we verify a relation between the symmetric continuity of lower semicontinuous extended seminorms on a locally convex cone with respect to the symmetric topology and barreledness of… Click to show full abstract
In this paper, we verify a relation between the symmetric continuity of lower semicontinuous extended seminorms on a locally convex cone with respect to the symmetric topology and barreledness of the locally convex cone. The assertion, whether a barreled cone is upper-barreled or not, was posed as a question in Ranjbari and Saiflu (J Math Anal Appl 332(2):1097–1108, 2007). We show that a barreled locally convex cone is not necessarily upper-barreled.
Keywords:
locally convex;
convex cones;
convex cone;
notes barreledness;
barreledness locally
Journal Title: Bulletin of The Iranian Mathematical Society
Year Published: 2021
Link to full text (if available)
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Journal Title: Bulletin of The Iranian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!