3 papers
math.FA2022
Differentiable, Holomorphic, and Analytic Functions on Complex -Algebras
Mark Roelands, Christopher Michael Schwanke
Using the notion of order convergent nets, we develop an order-theoretic approach to differentiable functions on Archimedean complex -algebras. Most notably, we improve the Cauc…
math.FA2019
Equivalence after extension and Schur coupling do not coincide, on essentially incomparable Banach spaces
Sanne ter Horst, Miek Messerschmidt, Andre C. M. Ran +1
In 1994 H. Bart and V.É. Tsekanovskii posed the question whether the Banach space operator relations matricial coupling (MC), equivalence after extension (EAE) and Schur coupling (…
math.FA2017
Equivalence after extension and Schur coupling coincide for inessential operators
S. ter Horst, M. Messerschmidt, A. C. M. Ran +2
In recent years the coincidence of the operator relations equivalence after extension (EAE) and Schur coupling (SC) was settled for the Hilbert space case. For Banach space operato…