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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

Multiplicative order convergence in f-algebras

Abdullah AYDIN
Pages
998–1005
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we study the basicproperties of these notions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A net (xα) in an f-algebra E is said to be multiplicative order convergent to x ∈ E if|xα − x| u o−→ 0 for all u ∈ E+.
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Key Findings & Data:In this paper, we introduce the notions mo-convergence, moCauchy, mo-complete, mo-continuous, and mo-KB-space.
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Conclusion & Impact:Moreover, we study the basicproperties of these notions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A net (xα) in an f-algebra E is said to be multiplicative order convergent to x ∈ E if|xα − x| u o−→ 0 for all u ∈ E+. In this paper, we introduce the notions mo-convergence, moCauchy, mo-complete, mo-continuous, and mo-KB-space. Moreover, we study the basicproperties of these notions.

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Cite This Article

AYDIN, A. (2022). Multiplicative order convergence in f-algebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 998–1005. https://ajindex.com/articles/529605

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References (9)

  1. C.D. Aliprantis and O. Burkinshaw, Positive Operators, Springer, Dordrecht, 2006.
  2. A. Aydın, Unbounded pτ -convergence in vector lattice normed by locally solid lattices, Academic Studies in Mathematic and Natural Sciences-2019/2, 118–134,
  3. IVPE, Cetinje-Montenegro, 2019.
  4. A. Aydın, S.G. Gorokhova and H. Gül, Nonstandard hulls of lattice-normed ordered vector spaces, Turkish J. Math. 42 (1), 155–163, 2018.
  5. A. Aydın, E. Emel’yanov, N. Erkurşun-Özcan and M.A.A. Marabeh, Compact-like operators in lattice-normed spaces, Indag. Math. 2 (1), 633–656, 2018.
  6. A. Aydin, E. Emel’yanov, N. Erkurşun-Özcan and M.A.A. Marabeh, Unbounded pconvergence in lattice-normed vector lattices, Sib. Adv. Math. 29 (3), 164–182, 2019.
  7. N. Gao, V.G. Troitsky and F. Xanthos, Uo-convergence and its applications to Cesáro means in Banach lattices, Isr. J. Math. 220 (2), 649–689, 2017.
  8. B.Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, WoltersNoordhoff Scientific, Groningen, 1967.
  9. A.C. Zaanen, Riesz Spaces II, North-Holland Publishing C., Amsterdam, 1983.