TY  - JOUR
AU  - Kalderburg, Zoran
AU  - Fabiano, Nicola
AU  - Mirkov, Nikola S.
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11718
AB  - The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math. 31 (1968), 296-305] and P. S. Kenderov [On topological vector groups, Mat. Sb. 10 (1970), 531-546]. These are vector spaces with a topology in which addition is continuous, but multiplication by scalars is continuous only if the scalar field is taken with the discrete topology. In this paper we introduce ordered topological vector groups and investigate their structure, in particular exploring them in the case when they need not be locally convex.
T2  - Journal of nonlinear and convex analysis
T1  - On ordered topological vector groups - new results
VL  - 23
IS  - 6
SP  - 1231
EP  - 1254
UR  - https://hdl.handle.net/21.15107/rcub_vinar_11718
ER  - 

@article{
author = "Kalderburg, Zoran and Fabiano, Nicola and Mirkov, Nikola S. and Radenović, Stojan",
year = "2022",
abstract = "The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math. 31 (1968), 296-305] and P. S. Kenderov [On topological vector groups, Mat. Sb. 10 (1970), 531-546]. These are vector spaces with a topology in which addition is continuous, but multiplication by scalars is continuous only if the scalar field is taken with the discrete topology. In this paper we introduce ordered topological vector groups and investigate their structure, in particular exploring them in the case when they need not be locally convex.",
journal = "Journal of nonlinear and convex analysis",
title = "On ordered topological vector groups - new results",
volume = "23",
number = "6",
pages = "1231-1254",
url = "https://hdl.handle.net/21.15107/rcub_vinar_11718"
}

Kalderburg, Z., Fabiano, N., Mirkov, N. S.,& Radenović, S.. (2022). On ordered topological vector groups - new results. in Journal of nonlinear and convex analysis, 23(6), 1231-1254.
https://hdl.handle.net/21.15107/rcub_vinar_11718

Kalderburg Z, Fabiano N, Mirkov NS, Radenović S. On ordered topological vector groups - new results. in Journal of nonlinear and convex analysis. 2022;23(6):1231-1254.
https://hdl.handle.net/21.15107/rcub_vinar_11718 .

Kalderburg, Zoran, Fabiano, Nicola, Mirkov, Nikola S., Radenović, Stojan, "On ordered topological vector groups - new results" in Journal of nonlinear and convex analysis, 23, no. 6 (2022):1231-1254,
https://hdl.handle.net/21.15107/rcub_vinar_11718 .