We provide a new proof of a previously known result, namely every (not necessarily complete) algebra norm on a JB*-algebra generates a topology stronger than the one of the JB*-norm. As a consequence, if θ is a homomorphisrn of a JB*-algebra A...

Nearset points in JB-algebras discussed....

, though this is known for finite-dimensional spaces

or compact sets. In this paper this conjecture is shown for l1-sums of Banach spaces and alternative

JB-algebras...

We study automatic continuity of higher derivations from JB*-algebras to Banach Jordan Algebras...

A unital JB-algebra A is defined to be of rank zero if the set of invertible elements is dense in A. A non-unital JB-algebra A is said to be of rank zero if its unitization A ⊕R1 is so. We show that a unital JB-algebra A is of rank zero if and only...

We prove that every generalized Jordan derivation from a JB*-algebra into itself or into its dual is continuous.

We also show that every generalized Jordan derivation from a C*-algebra into any Banach Jordan module is continuous....

We prove that every generalized Jordan derivation D from a JB*-algebra

A into itself or into its dual space is automatically continuous. In particular, we

establish that every generalized Jordan derivation from a C*-algebra to a Jordan...