Abstract
First, an investigation is made of the nature of diagonal maps in Köthe spaces. The central theorem relates the existence of a non-compact map between power series spaces to the existence of a common complemented basic sequence in the two spaces.
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Crone, L., Robinson, W. Diagonal maps and diameters in Köthe spaces. Israel J. Math. 20, 13–22 (1975). https://doi.org/10.1007/BF02756752
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DOI: https://doi.org/10.1007/BF02756752