Abstract
In a joint paper with Grahame Bennett and Toivo Leiger (cf. [3]) the second author introduced for real sequence spaces the Hahn property and the notion of Hahn spaces. The aim of this paper is to extend these notions and a series of results in [3] to subspaces of Fréchet spaces by replacing the space $\omega$ of all real sequences and the set $\chi$ of all sequences of 0's and 1's by any Fréchet space $H$ and a suitable subset $\chi$ of $H$, respectively. Applications of the general considerations to the original case of Hahn spaces of real sequences are also a main subject matter of the paper.
Citation
Johann Boos. Lothar Komp. "Hahn spaces in Fréchet spaces and applications to real sequence spaces." Funct. Approx. Comment. Math. 50 (2) 359 - 387, June 2014. https://doi.org/10.7169/facm/2014.50.2.10
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