On some locally convex FK spaces

نویسندگان

چکیده

We provide necessary and/or sufficient conditions on vector spaces V of real sequences to be a Fréchet space such that each coordinate map is continuous, is, locally convex FK space. In particular, we show if c00(I)?V???(I) for some ideal I ?, then and only there exists an infinite set S?? which every subset does not belong I.

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2022

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2022.108327