91 citations · 244 across the 32 of their papers we have counts for
6 papers · 1 filter
The category of Silva spaces is not integral
Marianne Lawson, Sven-Ake Wegner
We establish that the category of Silva spaces, aka LS-spaces, formed by countable inductive limits of Banach spaces with compact linking maps as objects and linear and continuous…
The left heart and exact hull of an additive regular category
Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen +1
Quasi-abelian categories are abundant in functional analysis and representation theory. It is known that a quasi-abelian category is a cotilting torsionfree class of…
Examples and non-examples of integral categories and the admissible intersection property
Souheila Hassoun, Amit Shah, Sven-Ake Wegner
Integral categories form a sub-class of pre-abelian categories whose systematic study was initiated by Rump in 2001. In the first part of this article we determine whether several…
The heart of the Banach spaces
Sven-Ake Wegner
Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Bei…
On the notion of a semi-abelian category in the sense of Palamodov
Yaroslav Kopylov, Sven-Ake Wegner
In the sense of Palamodov, a preabelian category is semi-abelian if for every morphism the natural morphism between the cokernel of its kernel and the kernel of its cokernel is sim…
Exact couples in semiabelian categories revisited
Yaroslav Kopylov, Sven-Ake Wegner
Consider an exact couple in a semiabelian category in the sense of Palamodov, i.e., in an additive category in which every morphism has a kernel as well as a cokernel and the induc…