Geodesic
Some properties of almost Jordan homomorphisms on Fréchet algebras
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

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In this paper, we investigate the notion of almost mixed Jordan homomorphisms between Fr\'{e}chet algebras. We show that if $A$ is a Fr\'{e}chet algebra and $T:A\longrightarrow\mathbb{C}$ is an almost mixed Jordan homomorphism, then either $T$ is continuous, or it is a $3$-homomorphism. Moreover, we prove that every almost Jordan homomorphism from a commutative Fr\'{e}chet algebra $A$ into $\mathbb{C}$ is almost $n$-multiplicative.
Publié le :
DOI : 10.30755/NSJOM.10382
Classification : 46H40, 47A10
Keywords: Almost $n$-multiplicative, almost mixed $n$-Jordan homomorphism, Fréchet algebras, Automatic continuity 
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     author = {A. Zivari-Kazempour},
     title = {Some properties of almost {Jordan} homomorphisms on {Fr\'echet} algebras},
     journal = {Novi Sad Journal of Mathematics},
     pages = {27 - 37},
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     volume = {51},
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     year = {2021},
     doi = {10.30755/NSJOM.10382},
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A. Zivari-Kazempour. Some properties of almost Jordan homomorphisms on Fréchet algebras. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.10382. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10382/

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