Results 251 to 260 of about 1,147,876 (300)

Intertwiners and Automatic Continuity

Journal of the London Mathematical Society, 1991
We study continuity questions involving intertwiners: If T and S are continuous linear operators on Banach spaces X and Y, respectively, and if \(\theta\) : \(X\to Y\) is a linear map, then we shall call \(\theta\) an intertwiner (of S and T) if there is an integer n for which \(C(S,T)^ n\theta =0\). Here \(C(S,T)\theta:=S\theta -\theta T.\) This class
Laursen, Kjeld Bagger, Vrbova, Pavla
openaire   +2 more sources

On some automatic continuity theorems

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2003
International audienceWe give characterizations of unital uniform topological algebras and saturated locally multiplicatively convex algebras by means of multiplicative linear functionals. Some automatic continuity theorems in advertibly complete uniform
El Azhari, Mohammed
exaly   +1 more source

Connections to automatic continuity

2000
Abstract The theory of automatic continuity deals with the extent to which certain algebraic conditions on linear mappings imply their continuity. Typical results in this theory establish the continuity of all multiplicative linear functionals on Banach algebras and of all positive linear operators on Banach lattices.
Kjeld B Laursen, Michael M Neumann
openaire   +1 more source

Home - About - Disclaimer - Privacy