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On fuzzy C*-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 16، شماره 4، تیر 2025، صفحه 229-231 اصل مقاله (297.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.31855.4726 | ||
| نویسنده | ||
| Ali Reza Khoddami* | ||
| Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran | ||
| تاریخ دریافت: 30 شهریور 1402، تاریخ بازنگری: 13 بهمن 1402، تاریخ پذیرش: 05 اسفند 1402 | ||
| چکیده | ||
| In this paper, we show that there is no fuzzy $C^*$-lgebra norm according to the definitions contained in [1, 2, 3]. Based on our claim, some parts of [Theorems 2 and 3, 2], [Corollaries 1 and 2, 2] and [Theorem 4, 3] are incorrect. | ||
| کلیدواژهها | ||
| Fuzzy normed space؛ Fuzzy normed algebra؛ Fuzzy normed $*-$algebra؛ Fuzzy $C^*-$algebra norm | ||
| مراجع | ||
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[1] N. Ansari, M.H. Hooshmand, M.E. Gordji, and K. Jahedi, Stability of fuzzy orthogonally ∗−n−derivation in orthogonally fuzzy C*−algebras, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 1, 533–540. [2] P. Lolo, E. Movahednia, and M. De la Sen, Hyers stability and multi-fuzzy Banach algebra, Mathematics 10 (2022), 1–13. [3] E. Movahednia and M. De la Sen, A new approach to involution in fuzzy C*−algebra via functional inequality and Python implementation, Axioms 12 (2023), 1–14. [4] C. Park, J.R. Lee, T.M. Rassias, and R. Saadati, Fuzzy ∗−homomorphisms and fuzzy ∗−derivations in induced fuzzy C*−algebras, Math. Comput. Model. 54 (2011), 2027–2039. | ||
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