Abstract
A shorter proof is given for a theorem of Domański and Mastyło characterizing the pairs $(E,F)$ of Frèchet-Hilbert spaces with the property that every exact sequence $0\to F\to G\to E\to 0$ of Frèchet-Hilbert spaces splits. The results on acyclicity of inductive spectra of metrizable locally convex spaces which we use are also presented with proofs.
Citation
Dietmar Vogt. "On the splitting relation for Frèchet-Hilbert spaces." Funct. Approx. Comment. Math. 44 (2) 215 - 225, June 2011. https://doi.org/10.7169/facm/1308749125
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