The properties of Banach algebras affected by differential identities

References

[1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Ergeb. Math. Grenzgeb. (3) 80, Springer, New York, 1973. 10.1007/978-3-642-65669-9Search in Google Scholar

[2] N. J. Divinsky, On commuting automorphisms of rings, Trans. Roy. Soc. Canada Sect. III 49 (1955), 19–22. Search in Google Scholar

[3] J. H. Mayne, Centralizing automorphisms of prime rings, Canad. Math. Bull. 19 (1976), no. 1, 113–115. 10.4153/CMB-1976-017-1Search in Google Scholar

[4] M. Moumen and L. Taoufiq, Commutativity theorems and projection on the center of a Banach algebra, Tatra Mt. Math. Publ. 83 (2023), 119–130. 10.2478/tmmp-2023-0009Search in Google Scholar

[5] M. Moumen and L. Taoufiq, On commutativity of Banach algebras with endomorphisms, Palest. J. Math. 12 (2023), no. 4, 100–105. Search in Google Scholar

[6] M. Moumen, L. Taoufiq and A. Boua, On prime Banach algebras with continuous derivations, Mathematica 65(88) (2023), no. 1, 122–132. 10.24193/mathcluj.2023.1.13Search in Google Scholar

[7] M. Moumen, L. Taoufiq and L. Oukhtite, Some differential identities on prime Banach algebras, J. Algebra Appl. 22 (2023), no. 12, Article ID 2350258. 10.1142/S0219498823502584Search in Google Scholar

[8] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. 10.1090/S0002-9939-1957-0095863-0Search in Google Scholar

[9] B. Yood, Some commutativity theorems for Banach algebras, Publ. Math. Debrecen 45 (1994), no. 1–2, 29–33. 10.5486/PMD.1994.1369Search in Google Scholar