$\varphi $-multipliers on a class of topological algebras
Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 503-512
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, we generalize the concept of $\varphi $-multipliers on Banach algebras to a class of topological algebras. Then the characterizations of $\varphi $-multipliers are investigated in these algebras.
In this paper, we generalize the concept of $\varphi $-multipliers on Banach algebras to a class of topological algebras. Then the characterizations of $\varphi $-multipliers are investigated in these algebras.
DOI : 10.21136/MB.2021.0022-21
Classification : 46A16, 46H05, 47C05
Keywords: fundamental topological algebra; infrasequential topological algebra; approximate identity; $\varphi $-multiplier; uniformly bounded
@article{10_21136_MB_2021_0022_21,
     author = {Naziri-Kordkandi, Ali},
     title = {$\varphi $-multipliers on a class of topological algebras},
     journal = {Mathematica Bohemica},
     pages = {503--512},
     year = {2022},
     volume = {147},
     number = {4},
     doi = {10.21136/MB.2021.0022-21},
     mrnumber = {4512170},
     zbl = {07655823},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0022-21/}
}
TY  - JOUR
AU  - Naziri-Kordkandi, Ali
TI  - $\varphi $-multipliers on a class of topological algebras
JO  - Mathematica Bohemica
PY  - 2022
SP  - 503
EP  - 512
VL  - 147
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0022-21/
DO  - 10.21136/MB.2021.0022-21
LA  - en
ID  - 10_21136_MB_2021_0022_21
ER  - 
%0 Journal Article
%A Naziri-Kordkandi, Ali
%T $\varphi $-multipliers on a class of topological algebras
%J Mathematica Bohemica
%D 2022
%P 503-512
%V 147
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0022-21/
%R 10.21136/MB.2021.0022-21
%G en
%F 10_21136_MB_2021_0022_21
Naziri-Kordkandi, Ali. $\varphi $-multipliers on a class of topological algebras. Mathematica Bohemica, Tome 147 (2022) no. 4, pp. 503-512. doi: 10.21136/MB.2021.0022-21

[1] Abel, M.: Mackey $Q$-algebras. Proc. Est. Acad. Sci. 66 (2017), 40-53. | DOI | MR | JFM

[2] Abel, M., Kokk, A.: Central elements in topological algebras with the exponential map. Ann. Funct. Anal. 2 (2011), 92-100. | DOI | MR | JFM

[3] Adib, M.: $\varphi$-multipliers on Banach algebras and topological modules. Abstr. Appl. Anal. 2015 (2015), Article ID 951021, 6 pages. | DOI | MR | JFM

[4] Ansari-Piri, E.: A class of factorable topological algebras. Proc. Edinb. Math. Soc., II. Ser. 33 (1990), 53-59. | DOI | MR | JFM

[5] Ansari-Piri, E.: The linear functionals on fundamental locally multiplicative topological algebras. Turk. J. Math. 34 (2010), 385-391. | DOI | MR | JFM

[6] Balachandran, V. K.: Topological Algebras. North-Holland Mathematics Studies 185. Elsevier, Amsterdam (2000). | DOI | MR | JFM

[7] Birtel, F. T.: Isomorphism and isometric multipliers. Proc. Am. Math. Soc. 13 (1962), 204-210. | DOI | MR | JFM

[8] Bonsall, F. F., Duncan, J.: Complete Normed Algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete 80. Springer, Berlin (1973). | DOI | MR | JFM

[9] Helgason, S.: Multipliers of Banach algebras. Ann. Math. (2) 64 (1956), 240-254. | DOI | MR | JFM

[10] Heuser, H. G.: Functional Analysis. John Wiley & Sons, Chichester (1982). | MR | JFM

[11] Husain, T.: Infrasequential topological algebras. Can. Math. Bull. 22 (1979), 413-418. | DOI | MR | JFM

[12] Husain, T.: Multipliers of topological algebras. Diss. Math. 285 (1989), 1-36. | MR | JFM

[13] Larsen, R.: An Introduction To the Theory of Multipliers. Die Grundlehren der mathematischen Wissenschaften 175. Springer, New York (1971). | DOI | MR | JFM

[14] Naziri-Kordkandi, A., Zohri, A., Ershad, F., Yousefi, B.: Continuity in fundamental locally multiplicative topological algebras. Int. J. Nonlinear Anal. Appl. 12 (2021), 129-141. | DOI

[15] Rudin, W.: Functional Analysis. McGraw-Hill Series in Higher Mathematics. McGraw-Hill, New York (1973). | MR | JFM

[16] Vukman, J.: An identity related to centralizers in semiprime rings. Commentat. Math. Univ. Carol. 40 (1999), 447-456. | MR | JFM

[17] Wang, J.-K.: Multipliers of commutative Banach algebras. Pac. J. Math. 11 (1961), 1131-1149. | DOI | MR | JFM

Cité par Sources :