3 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space
Tomasz Kania, Niels Jakob Laustsen, Richard Skillicorn
Let be the Banach space constructed by Read (J. London Math. Soc. 1989) such that the Banach algebra of bounded operators on admits a discontinuous derivat…
Extensions and the weak Calkin algebra of Read's Banach space admitting discontinuous derivations
Niels Jakob Laustsen, Richard Skillicorn
Read produced the first example of a Banach space such that the associated Banach algebra of bounded operators admits a discontinuous der…
The uniqueness-of-norm problem for Calkin algebras
Richard Skillicorn
We examine the question of whether the Calkin algebra of a Banach space must have a unique complete algebra norm. We present a survey of known results, and make the observation tha…
Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space
Niels Jakob Laustsen, Richard Skillicorn
We show that there exists a Banach space with the following properties: the Banach algebra of bounded, linear operators on has a singular extension which s…