
تعداد نشریات | 26 |
تعداد شمارهها | 447 |
تعداد مقالات | 4,557 |
تعداد مشاهده مقاله | 5,380,003 |
تعداد دریافت فایل اصل مقاله | 3,580,072 |
Automatic continuity of multiplicative polynomial operators | ||
Journal of Mahani Mathematical Research | ||
دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 497-502 اصل مقاله (460.97 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmr.2023.19772.1290 | ||
نویسنده | ||
Ali Naziri-Kordkandi* | ||
Department of Mathematics, Payame Noor University, Tehran, Iran | ||
چکیده | ||
This paper deals with the automatic continuity of multiplicative polynomial operators on a class of topological algebras. Several results are derived in this direction. We also support our results by some examples. | ||
کلیدواژهها | ||
Topological algebra؛ Multiplicative polynomial functional؛ automatic continuity؛ Spectral radius | ||
مراجع | ||
[1] M. Abel, Mackey Q-algebras, Proc. Est. Math. Soc. 66 (2017), 40-53.
[2] G. R. Allan, A spectral theory for locally convex algebras, Proc. London Math. Sco. 15 (1965), 399421.
[3] B. Aupetit, A Primer on Spectral Theory, Springer-Verlage, New York, 1991.
[4] V. K. Balachandran, Topological Algebras, Elsevier, New York, 2000.
[5] H. Biller, Continuous inverse algebras with involution, Forum Mathematicum. 22 (2010), 10331059.
[6] J. Bochnak and J. Siciak, Polynomials and multilinear mappings in topological vector space, Studia Math. 39 (1971), 5976.
[7] L. M. Druzkowski, Two criteria for continuity of polynomials and G-holomorphic mappings in in nite dimensions, Univ. Iagel. Acta Math. 24 (1984), 135138.
[8] A. El Kinani, L. Oubbi and M. Oudadess, Spectral and boundedness radii in locally convex algebras, Georgian Math. J. 5 (1998), 233241.
[9] Z. Gajda, Christensen measurability of polynomial functions and convex functions of higher order, Annales Polon. Math. 47 (1986), 2540.
[10] T. G. Honary, M. Omidi and A. H. Sanatpour, Automatic continuity of almost multiplicative linear functionals on Frechet algebras, Bull. Korean Math. Soc. 53 (2016),641649.
[11] T. Husain, Mutliplicative functionals on topological algebras, Research Notes Math. 85, Pitmann Publishing, Boston, 1983.
[12] B. E. Johnson, The uniqueness of the complete norm topology, Bull. Amer. Math. Soc. 73 (1967), 537539.
[13] A. Mallios, Topological Algebras. Selected Topics, North-Holland, Amsterdam, 1986.
[14] W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.
[15] A. V. Zagorodnyuk, Automatic continuity of mutliplicative polynomial operators on Banach algebras, Math. Stud. 12 (1999), 205207.
[16] A. V. Zagrodnyuk, Multiplicative polynomial operators on topological algebras, Contemporary Mathematics. 232 (1999), 357361. | ||
آمار تعداد مشاهده مقاله: 147 تعداد دریافت فایل اصل مقاله: 203 |