Title of article
Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces”
Author/Authors
Aleksic ، S.M. Department of Mathematics and Informatics - Faculty of Science - University of Kragujevac , Paunovic ، Lj.R. Faculty of Education in Prizren - Leposavic - University of Priština - Kosovska Mitrovica , Radenovic ، S.N. Faculty of Mechanical Engineering - University of Belgrade , Vetro ، F. Department of Energy, Information Engineering and Mathematical Models (DEIM) - University of Palermo
From page
1
To page
8
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.
Keywords
tvs , cone metric space , metrizable , solid , normal , non , normal ,
Journal title
Military Technical Courier
Journal title
Military Technical Courier
Record number
2509069
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