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Operators commuting with certain module actions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 14، شماره 12، اسفند 2023، صفحه 53-58 اصل مقاله (328.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.7045 | ||
| نویسنده | ||
| Seyedeh Somayeh Jafari* | ||
| Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran | ||
| تاریخ دریافت: 12 اسفند 1400، تاریخ بازنگری: 29 مرداد 1401، تاریخ پذیرش: 23 شهریور 1401 | ||
| چکیده | ||
| In this note, we study bounded linear operators associated with unitary representations which commute with certain module actions. | ||
| کلیدواژه‌ها | ||
| bounded linear operator؛ locally compact group؛ module action؛ unitary representation | ||
| مراجع | ||
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[1] M.E.B. Bekka, Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990), 383–401. [2] P.K. Chan, Topological centers of module actions induced by unitary representations, J. Funct. Anal. 259 (2010), 2193–2214. [3] E. Hewitt and K. Ross, Abstract Harmonic Analysis I, Springer, New York, 1970. [4] S. S. Jafari, On topological centers induced by unitary representations, Arch. Math. 117 (2021), 323–333. [5] R. Larsen, An introduction to the theory of multipliers, Springer-Verlage, Berlin Heidelberg, New York, 1971. [6] A.T. Lau, Operators which commute with convolutions on subspace of L∞(G), Colloq. Math. 39 (1978), 357–359. [7] A.T. Lau, Closed convex invariant subspaces of Lp(G), Trans. Amer. Math. Soc. 232 (1977), 131-142. [8] A.T. Lau and J. Pym, Concerning the second dual of the group algebra of a locally compact group, J. London Math. Soc. 41 (1990), 445–460. [9] W. Rudin, Invariant means on L∞, Studia Math. 4 (1972), 219–227. | ||
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