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Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 14، شماره 9، آذر 2023، صفحه 137-143 اصل مقاله (358.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28712.3979 | ||
| نویسندگان | ||
| Seyyed Mohammad Tabatabaie* ؛ Mahdi Latifpour | ||
| Department of Mathematics, University of Qom, Qom, Iran | ||
| تاریخ دریافت: 25 مهر 1401، تاریخ بازنگری: 29 آذر 1401، تاریخ پذیرش: 30 آذر 1401 | ||
| چکیده | ||
| In this paper, first, we study bicontinuous biseparating left multipliers on Orlicz algebras in the context of a compact hypergroup and give some formula for them. Also, we assume that $\Phi$ is a $\Delta_2$-regular Young function with $\Phi\in\Delta'$ (globally) which is not equivalent to $|x|^2$, and prove that if there is an isometry algebra isomorphism between convolution Orlicz algebras $L^\Phi(G_1)$ and $L^\Phi(G_2)$, then the underlying locally compact groups $G_1$ and $G_2$ are isomorphic. | ||
| کلیدواژهها | ||
| locally compact hypergroup؛ locally compact group؛ Orlicz algebra؛ convolution؛ biseparating operator؛ left multiplier | ||
| مراجع | ||
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[1] A.R. Bagheri Salec, V. Kumar and S.M. Tabatabaie, Convolution properties of Orlicz spaces on hypergroups, Proc. Amer. Math. Soc. 150 (2022), 1685–1696. [2] W.R. Bloom and H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, De Gruyter, Berlin, 1995. [3] S. Degenfeld-Schonburg and R. Lasser, Multipliers on Lp-spaces for hypergroups, Rocky Mount. J. Math. 43 (2013), no. 4, 1115–1139. [4] C.F. Dunkl, The measure algebra of a locally compact hypergroup, Trans. Amer. Math. Soc. 179 (1973), 331–348. [5] A. Ebadian and A. Jabbari, Convolution operators on Banach-Orlicz algebras, Anal. Math. 46 (2020), 243–264. [6] R.E. Edwards, Bipositive and isometric isomorphisms of some convolution algebras, Canad. J. Math. 17 (1965), 839–846. [7] R.J. Fleming and J.E. Jamison, Isometries on Banach spaces: function spaces, Chapman, Hall/CRC, Boca Raton (2003), FL 129. [8] F. Ghahramani and S. Zadeh, Bipositive isomorphisms of Beurling algebras, Canad. J. Math. 1 (2017), 3–20. [9] R.I. Jewett, Spaces with an abstract convolution of measures, Adv. Math. 18 (1975), l–101. [10] Y. Kawada, On the group ring of a topological group, Math. Japon. 1 (1948), 1–5. [11] V. Kumar and R. Sarma, The Hausdorff–Young inequality for Orlicz spaces on compact hypergroups, Colloq. Math. 160 (2020), no. 1, 41–51. [12] V. Kumar, S. Ritumoni and N.S. Kumar, Orlicz spaces on hypergroups, Publ. Math. Debrecen 94 (2019), no. 1-2, 31–47. [13] Y. Kuznetsova and S. Zadeh, On isomorphisms between weighted Lp-algebras, Canad. Math. Bull. 64 (2021), no. 4, 853–866. [14] J. Lamperti, On the isometries of certain function-spaces, Pacific J. Math. 8 (1958), 459–466. [15] S. Oztop and S.M. Tabatabaie, Weighted Orlicz algebras on hypergroups, Filomat 34 (2020), no. 9, 2991–3002. [16] S.K. Parrott, Isometric multipliers, Pacific J. Math. 25 (1968), 159–166. [17] M.M. Rao and Z.D. Ren, Applications of Orlicz Spaces, Marcel Dekker, New York, 2002. [18] M.M. Rao and Z.D. Ren, Theory of Orlicz Spaces, Marcel Dekker, New York, 1991. [19] R. Sarma, N. Shravan Kumar and V. Kumar, Multipliers on vector-valued L1-spaces for hypergroups, Acta Math. Sin. (Engl. Ser.) 34 (2018), no. 7, 1059–1073. [20] R. Spector, Apercu de la theorie des hypergroups, Analyse Harmonique sur les Groups de Lie, 643-673, Lec. Notes Math. Ser., 497, Springer, 1975. [21] R.S. Strichartz, Isomorphisms of group algebras, Proc. Amer. Math. Soc. 17 (1966), 858–862. [22] S.M. Tabatabaie and M. Latifpour, Isomorphisms of Orlicz spaces, Forum Mathematicum, (to appear) DOI: 10.1515/forum-2022-0051 [23] J.K. Wendel, On isometric isomorphism of group algebras, Pacific J. Math. 1 (1951), 305—311. [24] K.V. Wood, Isomorphisms of lp group algebras, Indiana Univ. Math. J. 50 (2001), no. 2, 1027-–1045. [25] K.V. Wood, Almost isometric ∗-homomorphisms of lp group algebras, Lecture Notes in Pure and Applied Mathematics 175 (1996), 461–466. [26] K.V. Wood, Small isomorphisms between group algebras, Glasgow Math. J. 33 (1991), no. 1, 21–28. [27] S. Zadeh, Isometric isomorphisms of Beurling algebras, J. Math. Anal. Appl. 1 (2016), 1–13. | ||
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