The automatic continuity for particular type of homomorphism nonassociative algebras

Automatic Continuity of Homomorphisms Between Banach algebras and Frechet algebras

Automatic Continuity in Associative and Nonassociative Context

There are excellent accounts on automatic continuity theory in the associative context. Since there have been a number of advances in automatic continuity theory in the nonassociative context, it seems to be an opportune time to present a comprehensive discussion of the currently known results on automatic continuity of linear maps in this context. These notes are an attempt to collect together...

Automatic Continuity of Higher Derivations on JB*-Algebras

Automatic continuity of almost multiplicative maps between Frechet algebras

For Fr$acute{mathbf{text{e}}}$chet algebras $(A, (p_n))$ and $(B, (q_n))$, a linear map $T:Arightarrow B$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(Tab - Ta Tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{N}$, $a, b in A$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$...

Automatic continuity of surjective $n$-homomorphisms on Banach algebras

In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.