Some results on Fredholm WCT operators on Orlicz spaces

Authors

1 Department of mathematics, Payame Noor University(PNU)-P.O.Box. 19395-4697, Tehran, Iran

2 Department of mathematics, Payame Noor University(PNU), P.O.Box. 1995-4697, Tehran, Iran

10.22055/jamm.2025.47103.2280

Abstract

In this paper we consider WCT operators on Orlicz spacess. Then we provide necessary and sufficient condition for WCT operators between two Orlicz spaces to have closed range. Also, we investigate Fredholm WCT operators.
In this paper we consider WCE operators on Orlicz spacess. Then we provide necessary and sufficient condition for WCT operators between two Orlicz spaces to have closed range. Also, we investigate Fredholm WCT operators.

Keywords

Main Subjects


[١ [زیوری رضاپور، محسن، ١۴٠١ . ّ روشی محاسباتی برای یک کمینه سازی بازآرایی وابسته به مساله پواسون روی قرص یکه در صفحه.doi:٢٠٠٠ .٣٩٧۶۴ .٢٠٢٢/jamm. ١٠٢٢٠٢۵ .٣۴٣ - ٣٣۶ .صص)، ١٢)٣ ،ریاضی پیشرفته مدلسازی مجله
[2] Chawziuk, T., Estaremi, Y. and Hudzik H., 2020. Surjectivity, closed Range, and Fredholmness of the composition and Multiplication operators between possibly distinct Orlicz spaces. Results in mathematics, 75 (3), pp. 1-18. doi:org/10.1007/s00025-020-01224-1
[3] Delfin, A., 2018. Fredholm operators. (october 25, 2018) university of oregen.
[4] Estaremi, Y., 2020. Some properties of MCE operators between different orlicz spaces. European Journal of Mathematics, pp. 1375-1387. doi:10.1007/s40879-019-00367-y
[5] Estaremi, Y., 2015. Some classes of weighted conditional type operators and their spectra. Positivity, 19, pp. 83-93. doi:10.1007/s11117-014-0284-6
[6] Estaremi, Y. and Jabbarzadeh, M.R., 2013. Weighted Lambert type operators on L
p-spaces. Oper Matrices, pp. 101-116. doi:10.7153/oam-07-05
[7] Estaremi, Y., 2014. Multiplication Conditional expectation type operators on orlicz spaces. Journal of Mathematical Analysis and Applications, 414, pp. 88-98. doi:10.1016/j.jmaa.2013.12.033
[8] Estaremi, Y., 2017. On properties of Multiplication Conditional type operators between l
p -space. Filomat, 31 (7), pp. 1933-1940. doi: 10.2298/FIL1707933E
[9] Murphy, G.J., 1990. C∗ - Algebras and operator Theory. Academic Press.
[10] Rao, M.M. and Ren, Z.D., 1991. Theory of Orlicz Spaces, Marcel Dekker, New York.
[11] Takagi, H. and Yokouchi, K., 1999. Multiplication and composition operators between two L
p -   spaces. Contemp. Math., 232, pp. 321-338.