operator algebras

Let A be a Banach algebra and let every module-valued derivation from A to any Banach A-bimodule be continuous. We show that if {dm} is a higher derivation from A to a Banach algebra B with continuous d0, then there exist ...

In this note we review briefly the subject of bounded and unbounded derivations

of operator algebras (C?-and W?-algebras). In particular, we mention some results on closability

and continuity of such derivations. ...

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 ...

In this paper we study modules and module derivations of JB*-algebras. We prove some results for annihilators of submodules, and we also prove the continuity of module derivations of JB*-algebras to Banach Jordan modules ...

We consider the Calkin algrbra C(A) and the Fredholm theory in a Banach algebra A, relative to some fixed ideal F of A. Our aim is to study linear maps between unital Banach algebras A and B which are surjective up to the ...

Given p>1, let G be a countable Powers group, and let

(G, A, a) be a separable nondegenerately representable isometric G-Lp-operator

algebra. We show that if A is unital and G-simple then the reduced ...

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