A note on automatic continuity

Automatic Continuity of Higher Derivations on JB*-Algebras

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.

A Note on the Kou’s Continuity Correction Formula

This article introduces a hyper-exponential jump diffusion process based on the continuity correction for discrete barrier options under the standard B-S model, using measure transformation and stopping time theory to prove the correction, thus broadening the conditions of the continuity correction of Kou.

A Note on the Continuity of the Inverse

In his article [2] Wallace mentions the following problem: let X be an algebraic group with a locally compact Hausdorff topology such that the map of XXX into X which takes (x, y) into xy for all x,yCX is continuous. Then is X a topological group? The purpose of this note is to answer this question in the affirmative. Lemma 1 is an immediate consequence of the continuity of multiplication, and ...

A Note on Absolute Continuity in Free Semigroup Algebras

An absolutely continuous free semigroup algebra is weak-∗ type L. A free semigroup algebra is the wot-closed (nonself-adjoint, unital) algebra S generated by n isometries S1, . . . , Sn with pairwise orthogonal ranges. See [4] for an introduction. There is now a significant literature on these algebras [1, 2, 9, 10, 11, 7, 6, 8, 5, 16, 15, 18, 17, 20]. The prototype is the non-commutative Toepl...