Ariel Blanco

On the norm of elementary operators

The norm problem is considered for elementary operators of the form

On the weak amenability of A(X) and its relation with the approximation property

U_{a,b}\,{:}\,{\cal A}\,{\longrightarrow}\,{\cal A},\;x\longmapsto axb\,{+}\,bxa (a,\,b\,{\in}\,{\cal A})

Weak Amenability of A(E) and the Geometry of E

in the special case when

On maps that preserve orthogonality in normed spaces

{\cal A}

Real interpolation of Banach algebras and factorization of weakly compact homomorphisms

is a subalgebra of the algebra of bounded operators on a Banach space. In particular, the lower estimate

Amenability of algebras of approximable operators

\|U_{a,b}\|\geq\|a\|\|b\|

On the simplicial cohomology of Banach operator algebras

is established when the Banach space is a Hilbert space and

On the weak amenability of B(X)

{\cal A}

On the positive approximation property

is the algebra of all bounded linear operators.

On the regularity of homomorphisms between Riesz subalgebras of L r ( X )

Abstract We investigate the weak amenability of the algebra A (X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A (X) .