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A New Method to Develop N-Symmetrizable Hilbert Spaces with Definite Sets
Sonja B. Chalamani, Elena T Kotevska, Marzanna J. Seweryn- Kumanovska
Faculty of Technical Sciences University St. Kliment Ohridski Makedonska Falanga 33, Bitola, Faculty of Technical Sciences University St. Kliment Ohridski Makedonska Falanga 33, Bitola 7000
Abstract: We constructed a crucial type of Hilbert Space with a new approach. We have explained the 3,2,p -N-symmetrizable Hilbert space with a set of (3,2,p)-metric d on it. The proposed Hilbert Space has significant topological structure and properties. Thus, the special topologies we suggested are able to add to the notion of metric spaces.
Keywords: (3, 2, p)-metric, (3, 2, p) -metric spaces, (3, 2, p)-Nsymmetrizable spaces A New Method to Develop N-Symmetrizable Hilbert Spaces with Definite Sets
DOI:https://doi.org/10.6025/jet/2023/14/3/76-81
Full_Text   PDF 1.25 MB   Download:   80  times
References:

[1] П.С. Александров, Ð’.Ð’.Немыцкий, “Условия метризуемости топологических пространств и аксиома симетрии”, Мат. сб. 3:3, p 663-672, 1938.
[2] А.Ð’. Архангельский, “О поведении метризуемости при факторных тображениях”, ДАН 164, Nо 2, p 247-250, 1965.
[3] Ðœ. Чобан, “О метрисуемыих пространствах”, Вестн.Моск. Ун-та, сер.Матем., мех, Nо 3, p 44-50, 1959.
[4] Calamani, S., Dimovski, D. (2014). Topologies induced by (3,1,p)- metrics and (3, 2, p)-metrics, Inernational mathematical forum, Volume 9, Number 21-24, p 1075-1088.
[5] Calamani, S., Dimovski, D. (2014). On continuity of a (3,1, )- metric, Mathematical Bulletin Vol.38(LXIV) No.1, p 5-1, 2014.
[6] Calamani, S., Dimovski, T. and Dimovski, D. (2015). Separation properties for some topologies induced by (3, j, p)-metrics, j {1,2}”, FMNS, Vol.1, p 24-30.
[7] Calamani, S., Dimovski, D. and Seweryn-Kuzmanovska, M, “On (3,2,Á)-E-K-metrizable spaces Mathematical Bulletin Vol 40(LXVI) No3, p 43-49. 2016.
[8] Dhage, B.C. (1994) “Generalized metric spaces and topological structure II”, Pure Appl.Math. Sci., 40 (1-2), p 37-41, 1994.
[9] Dimovski, D. (1992). “Generalized metrics - (n,m,r)-metrics”, Mat. Bilten, 16, Skopje, p 73-76, 1992.
[10] Dimovski, D. “(3,1,p)-metrizable topological spaces”, Math. Macedonica, 3, p 59-64, 2005.
[11] Engelking, R. “General Topology”, Warsaw , 1977.
[12] Gähler, S. (1963). “2-metrische räume und ihre topologische Struktur”, Math. Nachr. 26, p 115-148 1963.
[13] Mamuzi, Z. (1962). “Abstract distance and neighborhood spaces”, Proc. Prague Symp., p 261-266, 1962.
[14] Menger, K. (1928). “Untersuchungen über allgemeine Metrik”, Math. Ann. 100, p 75-163, 1928.
[15] Mustafa, Z., Sims, B. (2006). A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, Vol. 7, Number 2, p 289-297, 2006.
[16] Niemytzki, V.W. (1927). “On the ,,third axiom of metric spaces”, Tr. Amer. Math. Soc. 29, p 507-513, 1927. [17]
[18] Usan, J., <Nm,E>-seti s (n + 1)-rastojaniem, Review of Research, PMF, Novi Sad, Ser. Mat. 17, 2, p 65-87, 1989.


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