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Pashapournia, Ali, Akbari Tootkaboni, Mohammad, Ebrahimi bagha, Davood. (1402). Slowly oscillating functions on semitopological semigroup. نشریه هنرهای کاربردی, 14(4), 387-390. doi: 10.22075/ijnaa.2021.21051.2225
Ali Pashapournia; Mohammad Akbari Tootkaboni; Davood Ebrahimi bagha. "Slowly oscillating functions on semitopological semigroup". نشریه هنرهای کاربردی, 14, 4, 1402, 387-390. doi: 10.22075/ijnaa.2021.21051.2225
Pashapournia, Ali, Akbari Tootkaboni, Mohammad, Ebrahimi bagha, Davood. (1402). 'Slowly oscillating functions on semitopological semigroup', نشریه هنرهای کاربردی, 14(4), pp. 387-390. doi: 10.22075/ijnaa.2021.21051.2225
Pashapournia, Ali, Akbari Tootkaboni, Mohammad, Ebrahimi bagha, Davood. Slowly oscillating functions on semitopological semigroup. نشریه هنرهای کاربردی, 1402; 14(4): 387-390. doi: 10.22075/ijnaa.2021.21051.2225

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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