Slowly oscillating functions on semitopological semigroup

Pashapournia, Ali; Akbari Tootkaboni, Mohammad; Ebrahimi Bagha, Davood

doi:10.22075/ijnaa.2021.21051.2225

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	Slowly oscillating functions on semitopological semigroup
International Journal of Nonlinear Analysis and Applications
مقاله 29، دوره 14، شماره 4، تیر 2023، صفحه 387-390 اصل مقاله (348.68 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21051.2225
نویسندگان
Ali Pashapournia¹؛ Mohammad Akbari Tootkaboni^* ²؛ Davood Ebrahimi bagha¹
¹Department of Mathematics, Faculty of Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran
²Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
تاریخ دریافت: 14 مرداد 1399، تاریخ پذیرش: 26 خرداد 1400
چکیده
The slowly oscillating functions have been used by I. V. Protasov to study of the algebraic structure of the Stone-$\check{C}$esh compactification. M. Filali and P. Salmi developed the concept of slowly oscillating functions to arbitrary locally compact topological groups. In this paper, we study the structure of $Lmc$-compactification of a semitopological semigroup by the slowly oscillating functions. In fact, we develop the concept of slowly oscillating functions to semitopological semigroups.
کلیدواژه‌ها
Lmc- Compactification؛ The Stone-Cech Compactification؛ e-filter؛ Slowly oscillating functions

مراجع
[1] T. Alaste and M. Filali, slowly oscillating functions and closed left ideals of βS, Topology Appl. 156 (2009), 669–673. [2] J.F. Berglund, H.D. Junghenn and P. Milnes, Analysis on Semigroups: Function Spaces, Compactifications, Representations, Wiley, New York, 1989. [3] M. Filali and I. Protasov, Asymptotic oscillations, Topology Appl. 154 (2007), 561–566. [4] M. Filali and P. Salmi, Slowly oscillating function in semigroup compactification and convolution algebra, J. Funct. Anal. 250 (2007), 144–166. [5] N. Hindman and D. Strauss, Algebra in the Stone-Cech Compactification, Theory and Application ˘ , Springer Series in Computational Mathematics, Walter de Gruyter, Berlin, 2011. [6] I. Protasov, Normal ball structures, Mat. Stud. 20 (2003), 3–16. [7] I. Protasov, Metrizable ball structures, Algebra Discrete Math. 1 (2002), 129–141. [8] J. Roe, Lectures on Coarse Geometry, no. 31, American Mathematical Soc., 2003. [9] M.A. Tootkaboni, Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters, New York J. Math. 19 (2013), 669–688.
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Slowly oscillating functions on semitopological semigroup