Abstract
A classical theorem of G. Köthe states that the Banach spaces with the property that all bounded linear maps into an arbitrary Banach space can be lifted with respect to bounded linear surjections onto are up to topological linear isomorphism precisely the spaces . We extend this result to the category of normed linear spaces and bounded linear maps. This answers a question raised by A. Ya. Helemskiĭ.
Citation
Niels Grønbæk. "Lifting problems for normed spaces." Ann. Funct. Anal. 7 (1) 118 - 126, February 2016. https://doi.org/10.1215/20088752-3429463
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