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arXiv · 2112.00349

Admissibility of Frechet spaces

Maciej Ciesielski·Grzegorz Lewicki
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Abstract

The aim of this paper is to to show the admissibility of some class of Frechet spaces (see Definition 2.3). In particular, this generalizes the main results of [3]. As an application, we show the admissibility of a large class modular spaces equipped with F-norms determined in Theorem 4.1. It is worth noticing that F-norms introduced in Theorem 4.1 generalize the classical Luxemburg F-norm. Also a linear version of admissibility (so called metric approximation property) for order continuous symmetric spaces will be demonstrated (see Theorem 5.1).

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Maciej Ciesielski, Grzegorz Lewicki. 2021-12-01. Admissibility of Frechet spaces. https://arxiv.org/abs/2112.00349

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