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Equivalence after extension and Schur coupling for relatively regular operators
S. ter Horst, M. Messerschmidt, A. C. M. Ran
It was recently shown in [24] that the Banach space operator relations Equivalence After Extension (EAE) and Schur Coupling (SC) do not coincide by characterizing these relations f…
A family of quotient maps of that do not admit uniformly continuous right inverses
Miek Messerschmidt
Previously only two examples of Banach space quotient maps which do not admit uniformly continuous right inverses were known: one due to Aharoni and Lindenstrauss and one due to Ka…
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 (…
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…