$\alpha$-Topological Vector Spaces
$\alpha$-Topological Vector Spaces
The notion of $\alpha$-topological vector space is introduced and several properties are studied. A complete comparison between this class and the class of topological vector spaces is presented. In particular, $\alpha$-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
___
- Al-Hawary,T. $\omega$-generalized closed sets, Int. J. Appl. Math. 16 (3), 341-353, 2004.
- Al-Hawary,T. Generalized preopen sets, Questions Answers Gen. Topology 29(1), 73-80, 2011.
- Al-Hawary,T. $\rho$-closed sets, Acta Univ. Apulensis Math. Inform. 35, 29-36, 2013.
- Al-Hawary,T. $\zeta$-open sets, Acta Scientiarum-Technology, 35(1), 111-115, 2013.
- Al-Hawary,T. Decompositions of continuity via $\zeta-$open sest, Acta Universitatis aplulensis 34, 137-142, 2013.
- Al-Hawary,T. $\epsilon$-closed set. To appear in Thai J. Mathematics.
- Al-Hawary, T. and Al-Nayef, A. On Irresolute-Topological Vector Spaces, Math. Sci. Res. Hot-Line.5, 49-53, 2001.
- Al-Hawary, T. and Al-Nayef, A. Irresolute-Topological Vector Spaces, Al-Manarah J. 9 (2), 119-126, 2003.
- Al-Hawary,T. and Al-Omari, A. Between open and $\omega$-open sets, Ques. and Answer. in GeneralTopology 24, 67-77, 2006.
- Al-Hawary,T. and Al-Omari, A. Decompositions of Continuity, Turkish J. Math., 30 (20). 187-195, 2006.
- Al-Hawary,T. and Al-Omari, A. Generalized $b$-closed sets, Mutah Lil-Buhuth Wad-Dirasat5 (1), 27-39, 2006.
- Crossley, S. and Hildebrand, S. $\alpha-$closure, Texas J. Sci. 22, 99-112, 1971.
- Crossley, S. and Hildebrand, S. $\alpha-$topological properties, Fund. Math. LXXI, 233-254, 1972.
- Ganster, M. and Reilly, I. A decomposition of continuity, Acta Math. Hung. 56 (3-4), 299-301, 1990.
- Jarchow, Ph. Locally convex spaces, B. G. Teubner Stuttgart, 1981.
- Köthe, G. Topological Vector Spaces I, Berlin-Heidelberg, 1969.
- Maheshwari, S.N. and Thakur, S.S. On $\alpha$-irresolute mappings, Tamkang J. Nath. 11, 9-14,1980.
- Takashi, N. On $\alpha$-continuous functions,Časopis pro pěstování matematiky 109 (2), 118-126, 1984.
- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Sayıdaki Diğer Makaleler
Morad ALİZADEH, Gauss M. CORDEIRO, Cicero R. B. DİAS
Pembe İPEK, Zameddin İ. İSMAİLOV
Modified Holt's linear trend method
Guckan YAPAR, Sedat CAPAR, Hanife Taylan SELAMLAR, İdil YAVUZ
On ∗-(σ,τ)-Lie ideals of ∗-prime rings with derivation
Öznur GÖLBAŞI, Neşet AYDIN, Emine KOÇ