Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces”
Journal Title: Vojnotehnički glasnik - Year 2018, Vol 66, Issue 1
Abstract
This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new. Namely, using an old result due to K. Deimling it is indicated that tvs-cone metric spaces over solid cones are actually cone metric spaces over normal solid cones. Hence, there are only cone metric spaces over normal solid cones or over normal non-solid cones. One question still unanswered is whether an ordered topological vector space with a non-normal non-solid cone exists.
Authors and Affiliations
Suzana Aleksić, Ljiljana Paunović, Stojan Radenović, Francesca Vetro
Keywords
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- EP ID EP302609
- DOI 10.5937/vojtehg66-15128
- Views 111
- Downloads 0
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