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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

α-Topological Vector Spaces

Talal AL-HAWARY
Pages
1102–1107
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, a sucient condition for αregularity of α−topological vector spaces is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The notion of α−topological vector space is introduced and several properties are studied.
📊
Key Findings & Data:A complete comparison between this class and the class of topological vector spaces is presented.
💡
Conclusion & Impact:Finally, a sucient condition for αregularity of α−topological vector spaces is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The notion of α−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, α−topological vector spaces are shown to be independent from topological vector spaces. Finally, a sucient condition for αregularity of α−topological vector spaces is given.

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Cite This Article

AL-HAWARY, T. (2022). α-Topological Vector Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1102–1107. https://ajindex.com/articles/529865

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References (9)

  1. Al-Hawary,T. !-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. -closed sets, Acta Univ. Apulensis Math. Inform. 35, 29-36, 2013. Al-Hawary,T. -open sets, Acta Scientiarum-Technology, 35(1), 111-115, 2013. Al-Hawary,T. Decompositions of continuity viaopen sest, Acta Universitatis aplulensis 34, 137-142, 2013. Al-Hawary,T. -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.
  2. 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 !-open sets, Ques. and Answer. in Gen-eral Topology 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-Dirasat 5 (1), 27-39, 2006.
  3. Crossley, S. and Hildebrand, S.closure, Texas J. Sci. 22, 99-112, 1971.
  4. Crossley, S. and Hildebrand, S. topological properties, Fund. Math. LXXI, 233-254, 1972.
  5. Ganster, M. and Reilly, I. A decomposition of continuity, Acta Math. Hung. 56 (3-4), 299-301, 1990.
  6. Jarchow, Ph. Locally convex spaces, B. G. Teubner Stuttgart, 1981.
  7. Köthe, G. Topological Vector Spaces I, Berlin Heidelberg, 1969.
  8. Maheshwari, S.N. and Thakur, S.S. On irresolute mappings, Tamkang J. Nath. 11, 9-14, 1980.
  9. Takashi, N. On continuous functions, ƒasopis pro p¥stov·nÌ matematiky 109 (2), 118-126, 1984.