پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 712 |
| تعداد مقالات | 10,253 |
| تعداد مشاهده مقاله | 71,970,771 |
| تعداد دریافت فایل اصل مقاله | 63,721,016 |
New model of invertible elements on multiplicative sample of quasilinear spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 15، شماره 9، آذر 2024، صفحه 141-150 اصل مقاله (367.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30239.4375 | ||
| نویسندگان | ||
| Reza Dehghanizade؛ S. Sadegh Modarres Mosadegh* | ||
| Department of Mathematics, Yazd University, Yazd, Iran | ||
| تاریخ دریافت: 03 فروردین 1402، تاریخ پذیرش: 06 شهریور 1402 | ||
| چکیده | ||
| Invertible members of some of the most famous multiplicative quasilinear spaces are exactly equal to invertible elements of the linear subspace of such spaces. But with the old definition of invertible elements, we do not get anything extra. So, in the present paper, we develop the introductory algebra and introduce an extended model of invertible elements. This new concept plays a fundamental role in the definition of the generalized spectrum model. These new objects are constructed in such a way that can provide acceptable results. For example, we will be able to generalize the well-known theorem ``Spectral mapping property for polynomials'' with these new notions. | ||
| کلیدواژهها | ||
| Quasilinear spaces؛ Banach algebras؛ Banach quasi-algebras | ||
| مراجع | ||
|
[1] G.R. Allan, Introduction to Banach Spaces and Algebras, Oxford, UK: Oxford University Press, 2011. [2] S.M. Aseev, Quasilinear operators and their application in the theory of multivalued mappings, Proc. Steklov Inst. Math. 167 (1986), 23–52. [3] H. Bozkurt and Y. Yilmaz, New inner product quasilinear spaces on interval numbers, J. Funct. Spaces 2016 (2016), Art. ID 2619271, 9 pp. [4] H. Bozkurt and Y. Yilmaz, Some new properties of inner product quasilinear spaces, Bull. Math. Anal. Appl. 8 (2016), no. 1, 37–45. [5] S. C， akan, From quasilinear structures to population dynamics: Global stability analysis of an uncertain nonlinear delay system with interval approach, Open J. Math. Sci. 6 (2022), no. 1, 35–50. [6] S. Cakan and Y. Yilmaz, A generalization of the Hahn-Banach theorem in seminormed quasilinear spaces, J. Math. Appl. 42 (2019), 79–94. [7] S. C， akan and Y. Yilmaz, Riesz lemma in normed quasilinear spaces and its an application, Proc. Nat. Acad. Sci. India Sect. A 88 (2018), no. 2, 231–239. [8] R. Dehghanizade and S.M.S. Modarres, Quotient spaces on quasilinear spaces, Int. J. Nonlinear Anal. Appl. 12 (2021), no. Special Issue, 781–792. [9] A. Ebadian, M. Eshaghi Gordji, and Ali Jabbari, Pseudo n-Jordan homomorphisms and pseudo n-homomorphisms on Banach algebras, Honam Math. J. 42 (2020), no. 2, 411–423. [10] A. Ebadian, A. Jabbari, and N. Kanzi, n-Jordan homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras, Mediterr. J. Math. 14 (2017), no. 6, 241. [11] M. Eshaghi Gordji, A. Jabbari and E. Karapinar, Automatic continuity of surjec-tive n-homomorphisms on Banach algebras, Bull. Iran. Math. Soc. 41 (2015), no. 5, 1207–1211. [12] M. Eshaghi Gordji, n-Jordan homomorphisms, Bull. Aust. Math. Soc. 80 (2009) 159–164. [13] Sh. Hejazian, M. Mirzavaziri, and M.S. Moslehian, n-Homomorphisms, Bull. Iran. Math. Soc. 31 (2005), no. 1, 13–23. [14] T.G. Honari and H. Shayanpour, Automatic continuity of n-homomorphisms between Banach algebras, Q. Math. 33 (2010), no. 2, 189–196. [15] T.G. Honari and H. Shayanpour, Automatic continuity of n-homomorphisms between topological algebras, Bull. Aust. Math. Soc. 83 (2011), no. 3, 389–400. [16] E. Park and J. Trout, On the nonexistence of nontrivial involutive n-homomorphisms of C∗-algebras, Trans. Amer. Math. Soc. 361 (2009), no. 4, 1949–1961. [17] W. Rudin, Functional Analysis, Second Edition, International Editions, Mc-Graw-Hill, New York, 1991. [18] O. Talo and F. Ba，sar, Quasilinearity of the classical sets of sequences of fuzzy numbers and some related results, Taiwanese J. Math. 14 (2010), no. 5, 1799–1819. [19] Y. Yilmaz, H. Bozkurt, and S. Cakan, On orthonormal sets in inner product quasilinear spaces, Creat. Math. Inf. 25 (2016), no. 2, 237–247. [20] Y. Yilmaz, S. Cakan, and S. Aytekin, Topological quasilinear spaces, Abstr. Appl. Anal. 2012 (2012), Art. ID 951374, 10 pp. | ||
|
آمار تعداد مشاهده مقاله: 1,434 تعداد دریافت فایل اصل مقاله: 1,149 |
||